Maybe, though tame isn't the word I would use. Again, we're not talking about an animal here. Animals are tamed, intelligent creatures are enslaved. I would definitely look for the thinnest possible excuse to twist the wording of the wish against the caster.
Regardless, there are limits to the Wish spell, and you get to set them. Does it make sense for Wish to be able to enslave a mortal? For sure, you can pretty much do that with 5th level magic anyway. How about a god? Probably not! So where does an ancient red dragon possessed by gra'zt, two of the most powerful beings the party could ever hope to confront, fit into this scale? Rather closer to the god end, I suspect.
Personally, I wouldn't give them the chance. I would tell the wizard's player he realizes even a wish isn't powerful enough to enslave an ancient dragon, because Magicky Wagicky stuff. That way you're preserving your set piece and not allowing the players to punish themselves by wasting valuable resources (9th level slot) at the start of an inevitable combat. And to be clear, I think it should be inevitable. As the BBEG, I assume a significant portion of the party's adventuring career has been spent dealing with him or his machinations in one capacity or another. It would feel unsatisfying to me as a storyteller, and possibly to everyone who isn't the I WIN buton guy, to see the story conclude without a suitably dangerous fight.
Their approach may be indicative of thoughts unspoken, though. It's possible they feel unprepared and are simply afraid to die. Hopefully that's not the case with a bunch of level 20's, but ya never know. Alternately, they could be trying to avoid slaying the dragon to prolong the story. It might be worth your time to discuss with your players any possible plans you have for later on.
Regardless, there are limits to the Wish spell, and you get to set them. Does it make sense for Wish to be able to enslave a mortal? For sure, you can pretty much do that with 5th level magic anyway. How about a god? Probably not! So where does an ancient red dragon possessed by gra'zt, two of the most powerful beings the party could ever hope to confront, fit into this scale? Rather closer to the god end, I suspect.
Personally, I wouldn't give them the chance. I would tell the wizard's player he realizes even a wish isn't powerful enough to enslave an ancient dragon, because Magicky Wagicky stuff. That way you're preserving your set piece and not allowing the players to punish themselves by wasting valuable resources (9th level slot) at the start of an inevitable combat. And to be clear, I think it should be inevitable. As the BBEG, I assume a significant portion of the party's adventuring career has been spent dealing with him or his machinations in one capacity or another. It would feel unsatisfying to me as a storyteller, and possibly to everyone who isn't the I WIN buton guy, to see the story conclude without a suitably dangerous fight.
Their approach may be indicative of thoughts unspoken, though. It's possible they feel unprepared and are simply afraid to die. Hopefully that's not the case with a bunch of level 20's, but ya never know. Alternately, they could be trying to avoid slaying the dragon to prolong the story. It might be worth your time to discuss with your players any possible plans you have for later on.