Yes, but only with the permission of the affected owners of rights. Depending on the case, these are the author or the publishing house that holds the rights to the work, the record company that holds the rights to the recording, the phonogram company, any co-composers, etc.
As a derivative work, the remix itself enjoys individual copyright protection pursuant to (Art. 3 CopA) if it is an intellectual creation with an individual character and is perceptible to the senses pursuant to Art. 2 para. 1 CopA.