There is no reason why you should have to remove your other flooring just to redo the bathroom floors. Just find a floor tile that looks similar to your hallway and kitchen wood floors.

Sure you can remove it. Get a floor cutter (it's a saw) and cut the wood. Do the subfloor prep and then install the floor you want.

But be aware. Wood floors in bathrooms/powder rooms are often found in older homes...and older homes hide a BEVY of issues. Opening up a bathroom floor can be like opening a can of worms AND Pandora's box...all at the same time.

Check your bank account and make sure you have a decent amount (a few thousand) of extra coin...just in case life happens.