Yes, you can!
If you want to release a cover, remix or song with samples, you'll probably need to purchase a license to avoid any possible legal action from the original copyright holders.
Once you've been granted the necessary license, you can upload your documentation at the Track List stage of the Release Builder and add the copyright details of the song you've acquired the rights to by clicking the Edit button next to the track.
Check out this article for more details on music licensing and copyright.