Sure, sort of...
I'm sure at least some—if not most—folks with bioactive setups do just that.
With a non-bioactive setup, things might get a bit complicated, e.g.:
When my mister turns on, most of the water lands on the leaves of the plants; very little makes it to the floor or pan. Also, my plants all have river pebbles covering the soil so a certain somebody doesn't dig them up or consume any soil. I water my plants weekly as needed as part of my weekly cleaning & maintenance. The little excess water that may run out of the bottom of pots drains to the pan below.
Depending on your enclosure & plants, you might have to run the mister longer to water plants (assuming the water can/will
reach the pots). Excess water will still need someplace to go. (Some do use a wet/dry vac, but you may have to keep on top of that to avoid a flood.)
I would not want standing water to accumulate on the enclosure bottom as it could encourage molds, mildew, & bacteria.
IDK if I've understood/answered your question; if not, please elucidate!