Can I still get a notification when I’m miles away from where I lost my AirPods when they come back online?

Hello,

If your AirPods are out of Bluetooth range, out of charge, or in the case with the cover closed, Find My won't give a current location. You just have to find them manually by looking for them. However, Find My may list the most recent location where they were last connected.

See this for more detail:

If your AirPods are lost

Good luck.

You can only use Find My to locate them if they are within about 40 feet of you.