You can use one of those signal blocking pouches/enclosures mentioned above.
You can also wrap the key in a couple of layers of
heavy duty aluminum foil,
extra heavy duty aluminum foil, or Reynolds Pitmaster’s Super Strength Aluminum Foil. If you keep some heavy duty aluminum foil folded in the car (keep in a baggie), it's there for one of those quick spur of the moment excursions (like maybe a quick hike after work on a great weather day

).
Fwiw, although the aluminum foil could be used multiple times, I suggest avoiding that. Pin holes can happen.
If you want added security, there are lockable
metal boxes that be secured, by a cable, under the seat/etc. So, even if someone were to break into the car, they'd have find the key for the security box to steal the car.
Imho, if I'm going on a long hike and getting back late, I like knowing that my car will be there when I get back.