It looks almost certain to me.
I think this week, May's deal will be defeated again, MP's will then vote to exclude "no deal" and then vote to compel the Government to extend Article 50.
My prediction is that eventually we will end up with Norway plus, retaining membership of the single market and the customs union. Personally I think that will be a travesty of a Brexit but it is where I think we will end up given the composition of MP's in the Commons and peers in the Lords.