Report Abuse. Yes. A laptop can run without the battery. The other source would be the AC adapter. It can't damage the laptop if you don't use the battery. If you use only the AC adapter, make sure you don't unplug it while you're using the laptop because you will lose all of your data.Scotty · 8 years ago. laptop can run without the battery. The other source would be the AC adapter. It can't damage the laptop if you don't use the battery. If you use only the AC adapter, make sure you don't unplug it while you're using the laptop because you will lose all of your data. Scotty · 8 years ago.