Yes you can, if done properly it is very effective.
Silicone or epoxy will work .
Epoxy is best for gluing glass to wood.
Epoxy or silicone glue will do it
A better choice would be an epoxy glue. Super glue is not perfect on wood, painted or not.
Epoxy or silicone are your best choices.
Silicone is best for that.
It's been done but epoxy would be better.
Epoxy is probably the only thing that would stick that combination.
There are several types of wood glue available in the market, including PVA (polyvinyl acetate) glue, polyurethane glue, epoxy glue, and hide glue. Each type has its own unique properties and uses for bonding wood.
some are made of epoxy holding fiberglass together.others are made of cellulose, in wood.
Use wood glue for wood to wood, to glue a cabinet back together you need to remove the old glue so that you have a clean wood to wood contact if this can't be done you can use epoxy glue, go to your local hardware store ask for help and tell them what you are working on and they will help on the type of glue you need.
Epoxy is the best type of glue to use for wood.