Will a remote control work through a drywall?

A TV remote? Probably not.

TV remotes work via infra-red light. When you press a button, the command is sent to the TV through the infra-red light on the remote, which is picked up by an infra-red receiver on the front of the TV. Light cannot travel through walls. Infra-red extender systems are available to allow a remote in one room to operate equipment in another and can be purchased at AV dealers or on line.

If you mean a remote for a racing car or something, then yes, because these work by radio waves, not infra-red light, which can pass through most walls, depending on the strength of the waves.