Yes with the approval of their CAA's
You can do what you want but not having an escape route is not a wise idea with anything to do with aviation.
Personally I would be talking to Irish CAA and asking the question if you could transfer your exam results and medical etc over to them. What you don't want to happen is to be trapped in the middle of training and not in the system you need.
We don't do probable outcomes in commercial aviation. Either its going to be a safe landing or its a go-around.