Sure. I'd only take issue with it if it were for more than one campaign. For a single campaign every now and again, that could be a fun change of pace. As a regular thing, I think it would lose most of that charm.
My group actually (mostly) did this in a 2e campaign. The DM told us to make non-caster characters. The reason I said mostly is because one of the DM's friends nagged him until he let the guy play a wizard. But after a few sessions that wizard died and the player created some variety of warrior. So it was a mostly casterless campaign, and it was quite fun and memorable.