Yes, you will be notified when you're within BluetoothⓇ range.
Wyze Gun Safe does not connect to Wi-Fi, so you must be in BluetoothⓇ range to get push notifications when the safe is being accessed. If you aren't in range, you'll be able to view the access history once you're in Bluetooth range again.
Note: You will not get a real-time notification if you are not within Bluetooth range.