Please do help me to know if someone can join a group of people to travel to a tourist site while fasting?
All perfect praise be to Allah
Islam encourages to travel and see the creation of Allah and also to see what happened to the people who didn't follow the teachings of their prophet's.
قُلْ سِيرُوا فِي الْأَرْضِ فَانظُرُوا كَيْفَ بَدَأَ الْخَلْقَ ۚ ثُمَّ اللَّهُ يُنشِئُ النَّشْأَةَ الْآخِرَةَ ۚ إِنَّ اللَّهَ عَلَىٰ كُلِّ شَيْءٍ قَدِيرٌ
Say: "Travel in the land and see how (Allah) originated creation, and then Allah will bring forth (resurrect) the creation of the Hereafter (i.e. resurrection after death). Verily, Allah is Able to do all things." (Quran 29/20)
قُلْ سِيرُوا فِي الْأَرْضِ فَانظُرُوا كَيْفَ كَانَ عَاقِبَةُ الْمُجْرِمِينَ
Say to them (O Muhammad SAW) "Travel in the land and see how has been the end of the criminals (those who denied Allah's Messengers and disobeyed Allah)." (Quran 27/69)
So, you can travel there is no issue, if you think this travelling will lead you to break your fast, than don't do it unnecessarily.
If anyone forbids you to travel while fasting he must present the proof for his view.