Hadith # 1
From Bukhari :: Book 1 :: Volume 7 :: Hadith 331 we hear
Narrated Jabir bin 'Abdullah:
The Prophet said, "I have been given five things which were not given
to any one else before me.
I have been given the right of intercession (on the Day of Resurrection).
Every Prophet used to be sent to his nation only but I have been sent to all mankind.
From the above Hadith alone it has to be made clear that the right to intercede on the day of judgement on behalf of any human wasn't given to any prophet before.
Point # 4 of Hadith # 1 if you believe it to be authentic is clear and would suffice to answer your question "is Jesus (pbuh) given the right to intercede". No, as the Hadith clealy says, no other prophet was given this privilege. Next in order to support more to my point....
I had to quote this big Hadith.
Helpign you by highlighting it. But it is necessary for the answer, otherwise I wouldn't...
Hadith # 2
Some (cooked) meat was brought to Allah Apostle and the meat of a forearm was presented to him as he used to like it. He ate a morsel of it and said, "I will be the chief of all the people on the Day of Resurrection. Do you know the reason for it? Allah will gather all the human being of early generations as well as late generation on one plain so that the announcer will be able to make them all-hear his voice and the watcher will be able to see all of them. The sun will come so close to the people that they will suffer such distress and trouble as they will not be able to bear or stand. Then the people will say, 'Don't you see to what state you have reached? Won't you look for someone who can intercede for you with your Lord' Some people will say to some others, 'Go to Adam.' So they will go to Adam and say to him. 'You are the father of mankind; Allah created you with His Own Hand, and breathed into you of His Spirit (meaning the spirit which he created for you); and ordered the angels to prostrate before you; so (please) intercede for us with your Lord. Don't you see in what state we are? Don't you see what condition we have reached?' Adam will say, 'Today my Lord has become angry as He has never become before, nor will ever become thereafter. He forbade me (to eat of the fruit of) the tree, but I disobeyed Him . Myself! Myself! Myself! (has more need for intercession). Go to someone else; go to Noah.' So they will go to Noah and say (to him), 'O Noah! You are the first (of Allah's Messengers) to the people of the earth, and Allah has named you a thankful slave; please intercede for us with your Lord. Don't you see in what state we are?' He will say.' Today my Lord has become angry as He has never become nor will ever become thereafter. I had (in the world) the right to make one definitely accepted invocation, and I made it against my nation. Myself! Myself! Myself! Go to someone else; go to Abraham.' They will go to Abraham and say, 'O Abraham! You are Allah's Apostle and His Khalil from among the people of the earth; so please intercede for us with your Lord. Don't you see in what state we are?' He will say to them, 'My Lord has today become angry as He has never become before, nor will ever become thereafter. I had told three lies (Abu Haiyan (the sub-narrator) mentioned them in the Hadith) Myself! Myself! Myself! Go to someone else; go to Moses.' The people will then go to Moses and say, 'O Moses! You art Allah's Apostle and Allah gave you superiority above the others with this message and with His direct Talk to you; (please) intercede for us with your Lord Don't you see in what state we are?' Moses will say, 'My Lord has today become angry as He has never become before, nor will become thereafter, I killed a person whom I had not been ordered to kill. Myself! Myself! Myself! Go to someone else; go to Jesus.' So they will go to Jesus and say, 'O Jesus! You are Allah's Apostle and His Word which He sent to Mary, and a superior soul created by Him, and you talked to the people while still young in the cradle. Please intercede for us with your Lord. Don't you see in what state we are?' Jesus will say. 'My Lord has today become angry as He has never become before nor will ever become thereafter. Jesus will not mention any sin, but will say, 'Myself! Myself! Myself! Go to someone else; go to Muhammad.' So they will come to me and say, 'O Muhammad ! You are Allah's Apostle and the last of the prophets, and Allah forgave your early and late sins. (Please) intercede for us with your Lord. Don't you see in what state we are?" The Prophet added, "Then I will go beneath Allah's Throne and fall in prostration before my Lord. And then Allah will guide me to such praises and glorification to Him as He has never guided anybody else before me. Then it will be said, 'O Muhammad Raise your head. Ask, and it will be granted. Intercede It (your intercession) will be accepted.' So I will raise my head and Say, 'My followers, O my Lord! My followers, O my Lord'. It will be said, 'O Muhammad! Let those of your followers who have no accounts, enter through such a gate of the gates of Paradise as lies on the right; and they will share the other gates with the people." The Prophet further said, "By Him in Whose Hand my soul is, the distance between every two gate-posts of Paradise is like the distance between Mecca and Busra (in Sham)."
From the above Hadith it is further clear that, since Prophet Jesus (pbuh) and nor do the other Prophets (pb upon'em) have the right to intercede will simply divert the traffic ultimately to Prophet Muhammad (pbuh) on that day. And moreover, when Muslims know it priorly, they won't expect intercession from Jesus (pbuh) at the first place. But, who knows, people might start from Prophet Adam (pbuh) but again ultimately would reach Prophet Muhammad (pbuh).
So, to conclude, two Hadith clearly demystify the dilemma can we expect intercession on that day from him.
If you're a Muslim and if you believe the above Hadith to be authentic enough, The answer is No.
May the creator guide us all.