Yes, you can. If you plan on distributing a cover song, you may need to first get permission (and possibly a license) from the original copyright holder to release your song digitally.
Cover songs should NOT include the original performing artist in the track title or artist field.
Wake Me Up (Originally Performed by Avicii) Wake Me Up (Cover of Avicii) Wake Me Up (Tribute to Avicii)
Wake Me Up Wake Me Up (Acoustic Version)
You will need to make sure when uploading that you use the original performing artist in the copyright C line.
You can look into purchasing a mechanical license for a cover song in the US from The Harry Fox Agency.