I think not. If the car is parked in close proximity to the fob after X time it will stop pinging the fob so as not to drain the battery. Then you have to press one of the buttons, lock or unlock, I don't remember which offhand, 5 times in rapid succession to reactivate it or it won't unlock with the door button or start unless the fob is held near the start button. It's goofy because the dash will read that the fob battery is low when you get in the car, though in reality it's locked out the fob ping.
Many an owner, including myself, has been fooled into changing the battery because of that warning, while in reality the battery is fine but the car won't open or start until you reset it with the presses. I've learned not to park my car overnight near my side door where my extra fob is on a hook or it will "kill" it every time, but until it shuts down the ping it's draining the battery.