Not only does epoxy resin bond to wood, but it bonds very strongly. It creates a near-permanent bond that will be very hard to break. However, I would caution you to make sure that the surface of your wood is fully prepared before adding the epoxy.
A dirty surface is one of the main things that can prevent proper adhesion. You will also have better luck if you avoid mixing different brands of epoxy. While two different kinds of epoxy can bond to one another, you will get better results by keeping it homogenous.