To the non-Muslims, yes, it is possible. To the Muslims, not unless you want the church burnt down. It was hard enough getting to this stage.
Conversion of Muslims to any other religion is prohibited by law throughout the Gulf. Officially therefore, we do not evangelize Muslims nor are Muslims allowed to attend our services. Likewise, baptisms and sacraments for children of Muslim parents is tricky, we cannot announce banns for marriages to a Muslim, etc., etc. - which is why the Church here generally strongly discourages such marriages in the first place.
One also has to be careful since occasionally there are “checkups” - people posing as converts or wanting to buy religious items. Therefore officially the answer is no. Unofficially,…that is another matter…usually people go to another country because in the Gulf there is no legal protection from repercussion - you can get (and I know people who have) hauled up before the court. And of course, such things are treated REALLY carefully to see whether people are actually sincere.
As for no poverty…there are actually poor local people though the government tries not to acknowledge it. They do get assistance, though.