No, Find my only would show the last know location for up to 24h.
And the last known location is just where your iPhone was when the air pods were last connected.
How to find your lost AirPods - Apple Support
Use the Find My app to locate a lost or stolen device - Apple Support
"Don't see your device? You might not have Find My [device] turned on. If your device is powered off, the battery has run out, or more than 24 hours has passed since its last location was sent to Apple, you also can't see your device's location. Learn how you can still protect your information."
You will have to find them the old fashioned way I am affraid, find my won't be able to help you much in this situation, there is no way to track Air pods Directly as they dont have GPS or Cellular.
Good luck!