No dream interpretation is not haram, and those who interpret dreams may get it right or may get it wrong as is clear from what the Prophet (peace and blessings be upon him) said to Abu Bakr when he interpreted a dream:
أَصَبْتَ بَعْضًا وَأَخْطَأْتَ بَعْضًا
You have interpreted a part of it correctly and you have erred in
interpreting a part of it
Also, it is known that Allah blessed Prophet Yusuf (peace be upon him) with the ability to interpret dreams, as well as people came to the Prophet (peace and blessings be upon him) and he used to interpret them, as well as others like Abu Bakr.
Also, it must be understood that not all dreams should be told, for instance if one has a dream that comes from Shaytaan, one that he dislikes, or in other words if he has a bad dream or nighmare then he should not tell it to anyone and should keep it to himself. For dreams are of three types, one from Shaytaan, and one that is from Allah.
If you see a dream that you like, then you may tell to those whom you love or trust, but not those whom you fear harm from. Like how Yusuf (peace be upon him) told his father about his dream, and his father advised him not to tell his brothers. You may also seek interpretation from scholars and those who give advice.
So in the end, no dream interpretation is not haram and is ok.
For more information see this (In Arabic).