yes but if you cant act (drink potion ect.) then you have to wait paralyze out instead of trying to get it off if you are solo
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no, the proc check should happen when you call the action, just like when you try to call a BP on a paralyzed avatar. If you beat the roll, then your action goes on as usual--if you lose the roll, then you don't act and instead get a message that you are paralyzed.

Raist