The short answer is yes but..

Wood burners are essentially uncontrolled devices (if the water gets too hot the flames can't easily be turned down automatically). This means that the system has to be carefully designed with safety in mind. For example it's normal to have some kind of large "dump rad" somewhere to dissipate any excess heat once the water in the system is at the set temperature or at the max safe temperature (say 90C). Also a Pressure Relief Valve in case the water does boil.

UFH needs lower temperatures than rads so some way of dropping the water temperature from the burner is usually required - usually either a mixer, a thermal store or both.

There are also issues with using pumps (what happens to the water temperature if there is a power cut?). I believe this means the dump rad is usually on a gravity loop meaning it has to be higher than the burner.  Best get it designed properly.

If the combined Workshop/garage is over 30 sqm the workshop will require Building Control Approval and they will take an interest in the level of insulation and heating.

a wood burner will easily heat a workshop on its own and iff you want better distribution off heat place a fan up in the eaves where the temperature will be around 5 degrees warmer

what size is your workshop ?

his thinking was that you dont want the room to warm to work in but if the floor was warm then you are warm.