Why not?
They'd act differently from the spell, naturally, and would auto center around the drinker, but I think they'd be fun and useful.
These exist already. I've used them before.
Crafted ones?
You can't brew them, but there's a way to make them. They are very useful, but it's important to note that for them and any other possible spells of offensive potions that drinking one will break ivis for example.