How difficult it would be depends on a lot of things.
It may be possible, but it all depends on where everything is located. Making it look good would be difficult. You would almost need to install the wood burning unit after designing the hookup.
Trying to jerry rig it, and how difficult that would be depends on the unit. Do you have to go through a stone hearth, a subfloor, and that damn floor joist that is always right in the way?
You going to try to hook ducting to a free standing wood burner and snake it around such that it loses all it's heat before hitting the main trunk and create a burn hazard as well?
Upstairs? Downstairs? Do you even have access to the HVAC main trunk?
Too many variables to even say yes, it's posssible.