You should be able to do this pretty easily and it will be very energy efficient and free to run but will probably only raise the interior temperature by an 80:20 type ratio of what you feel comfortable with so you'll want to top it up with the wood burner occasionally as well. Think of the ground heat pump as "baseload".
Discussion
Yeah, my BIL has a heat pump and a wood fireplace, and he occasionally needs the fireplace. Winters aren't very cold here, anymore, and modern German houses are bizarrely energy-efficient.
The stove is in a half-finished basement room we want to turn into a den. It warms the basement, which means the main floor doesn't need as much heat. And we barely have the heaters running on the top floor.
Even though you have a basement I would still run the floor heating element through the ground floor, I think it will be tricky otherwise.
I am a bit jealous since here we have only air to air heat pumps, standard for Mediterranean because mostly used for cooling rather than heating but much less energy efficient than ground to ground.
It's good to diversify though and have a number of different solutions that can overlap instead of putting all your eggs in one basket, even if any one solution doesn't provide 100% coverage of your total needs.