Yes, it’s possible to heat a whole house with underfloor heating, although this is generally done in new builds rather than existing homes. Retrofitting a whole home with underfloor heating can be a long process, and is quite expensive.
Wet underfloor heating is the preferred method for heating a whole house, since whole-house electric underfloor heating can be very expensive to run, and is usually designed for small rooms such as bathrooms or kitchens.