It is possible...if you're an experienced luthier. If not then you will be paying an experienced luthier good money...and he will tell you it's not worth it. By the time you add up the cost for parts and labor you could just buy a guitar with a tremolo factory installed. Plus if you're using a Gibson/Epiphone Les Paul the neck is angled when it is joined to the body, that means your bridge has to sit higher than on a standard strat type guitar...this makes it a little more difficult. If you like the Paul sound and look then budget some money for something constructed from the same woods (Schecter), with the trem that you want, and you'll get a similar sound.