Q: Can I ship my MacBook Pro to be repaired, from home?

You don't say whether or not you're still covered under AppleCare. I would call Apple and ask what your options are. I once had to have some major repairs done, and they sent me a prepaid FedEx box to ship my machine to them, then shipped it back the same way. However, I was covered under AppleCare and had had a series of calls to tech support to try other solutions first.

can i send it away to be fixed if it is still under warranty and then get it shipped back??

Better get in touch directly with Apple Support: https://support.apple.com/en-us/HT201232