is it possible to have an inter-religion wedding?

You can, although I've never been to one. I actually think it's kind of a bad idea. If the couple are both strongly religious in different religions, then how will their children be raised? It also seems kind of contradictory.

Yes, I've been to them. They're nice and usually honor both people's traditions. I would be totally open to having a duel faith wedding if I was marrying a person who was not a Christian which I am also open to doing. Personally, I don't think God cares (or at least my version of God doesn't) which house of worship (if any house of worship at all) you get married in. Love is love. The shape of the house is the shape of the house. I'll get married in a temple, a mosque, a church. I don't care. That's such a small matter in the universe (in my opinion anyway).

I did not hear that wedding with two religions at the same time. I heard many times that people in different religion who got married will have ceremony in both faith but not at the same day. Well, It might be possible to do that but I never heard of somebody doing it in one setting. What I often heard was that, they will be solemnized by the pastor if the other one is a protestant then scheduled for another ceremony for the priest. But for me? in order to avoid complications, both parties who will get married must be in the same faith so that there will be no more problem.

I know lots of people that come from two different religions and got married. They only had one priest. I don't know if he was a neutral priest or of one religion, but it is possible. Many people do it many different ways.