This would be a better question for the Woodworking stack.
If it is glued... Glue joints can be stronger than the wood, and just applying force risks damage.
It appears to be solid wood rather than ply and MDF, so it might be old enough to have been built with hide glue. If so, the pros use steam (eg wrapping the joint in damp fabric and carefully applying a hot air gun) to heat and rehydrate the glue, softening it so the pieces can be separated for repair.
Modern adhesives are less cooperative.
It is possible that part of what's holding it together at this point is that it was varnished as a complete piece. If so, a razor knife at the joined edges might release it.
Personally, I would suggest finding a friend with a minivan or truck, or renting one for the day. It's a nice piece; I wouldn't want to risk damaging it.