Generally no. Wood is kiln dried so there is not enough moisture in it to conduct electricity but it also does not make a good insulator either because it can retain moisture.
Is Wood An Electrical Conductor?
No, you won't get electrocuted.
Dry wood is an insulator but wet wood could be an electrical conductor. This is because of the dissociation of water molecules around it. Of course an electrical conductor is supposed to have free free electrons moving around or withing.
Is an earring made of a metal hook and the rest in wood placed in an electrical socket shock you?