Exactly what sort of microwave do you have??? That is very deep for a "hanging" model?? Is it just a large countertop model? If so, you will need a shelf for it to sit on.

"...microwave to sit out over the range more..."

What? Is this an "over the range" (OTR) microwave that is meant to be mounted over a range? Or, is it a standard MW (as Debbi asked)?

Are you asking if you can put a 24" deep upper cabinet over the range instead of the standard OTR MW cabinet?

Your question and accompanying description is a bit confusing...

Do you mean "oven" or "range"? You use both terms.

Oven = interior cavity that is heated up and food is placed inside to bake/roast/broil. Usually part of a range or separate as a "wall oven"

Range = appliance with both surface cooking and an oven beneath the surface

Sometimes people do refer to a range as an "oven", but since you used both terms, I wanted to be sure I know what you actually mean.

It’s an over the range microwave. Yes I’m wondering if it’s ok to put a 24” cabinet over the range And hang a microwave from it.

OTR's don't just hang from the upper, they mount to the back wall via a metal plate/bracket. You would have to build out from the back wall in order for the OTR to come out over the range further. Not sure how you would build out but if you used 2x4's you are adding a combustible product too low above the range. If that was what you're thinking, it's a fire hazard and definitely won't meet code.