All the best with your move! Yes, you can flat tow a Buick Encore provided that it’s the all-wheel-drive version. If your Encore does not come equipped with all-wheel drive, you’ll need to use a different towing method, like dolly towing or trailer towing.
It’s also a good idea to check your owner’s manual before flat towing any vehicle. This will give you more information about how fast you should drive, how to attach your Encore to your towing vehicle, and whether or not flat towing is right for your car. That way, you’ll know you’re being safe.