A: Andy’s unofficial/official answer is that, while the rules don’t specifically disallow it, it’s highly frowned upon, and whoever does it is the winner of the “You’re a Big Jerk” award.
So, you technically CAN do it, but we’re pretty sure your friends (and your livers) will thank you if you don’t….
And think about it this way: Since everyone is going to have to drink on their turn anyway*, as a penalty for breaking either one rule or the other, both rules can effectively be ignored, and everyone just takes a drink on their turn, no matter what.
Simply ignoring both is significantly less fun than having to remember to avoid a word AND say a specific word after every sentence. So thanks, yeah, you just made the game less fun. That should be reason enough to avoid doing this, even if you think you’re terribly clever for having thought of it.
*Actually one can avoid a lot of the drinking from this situation by simply not speaking, which, again, is less fun, though there are other rules which might require speaking, like Toastmaster.