I don't see why not .
just make sure the seal to each pack stays intact.
I don't know about the drawer being different than the rest of the refrigerator .
I know my refrigerator is colder in the back than the front .
I dont know much a all about the drawers .
but my refrigerator is older . as I understand it , in newer refrigerators
the drawers might be managed differently .
Ive just noticed : 31C. hopefully you meant 31 F ?
31 F will freeze water
you have 10 packs
enjoy a pack every 6 days ?