It's feasible to add the torches in post. Even if your camera isn't locked off, you can motion track the torches in... but... you'll STILL need the main lighting on the scene to flicker.
You can do the flicker in post two ways:
1) The crappy way is to add a duplicate track of video on top of the first layer. Reduce the opacity to maybe 10%. Add a color correction filter to this second track and then time this filter to flicker... maybe one cycle every 24 frames or so, but NOT consistently 24 frames. If it's too consistent it will look mechanical. Getting the timing right will take you a while to do. The coloring is easy, though. Just slightly dim, then slightly orange, dim, then orange, etc.
2) There is a better way to bring in flame flicker in post but it gets technical depending on what software you're using. What ARE you using?
I heartily agree with, Jay Rox, though. You should try to create the firelight on set. You can either use a real campfire off camera. Or you can aim a light (with an orange gel) AWAY from the actor and toward a crew person holding a reflector. The person shakes the reflector and thereby bounces the flickering light toward the scene. If you don't have a reflector, you can make one with cardboard and foil. This could be noisy, though, which is especially problematic for the actor's close ups.
If you're choosing to use CGI strictly because you need the immolation to look instantaneous, you should realize that there are ways to shoot this sequence where you use real torches on the trees and through clever edits, you can make the audience believe the presence and the igniting is instant. However, if you're opting for CGI because of fire safety, then by all means, safety first, production value second.
Shanked