Yes, it's possible and has been asked many times. Try setting up a sendable Data Extension with "FromName" and "FromEmail". Send a test using your new Sender Profile? Does it work? If not, ask Support to enable the Enhanced Sender Profile Business Rule for you.
If you're sending from a domain other than a SAP/Private Domain configured in SFMC, bear in mind that to be able to get any of these emails to the inbox, you'll need to set up SPF and DKIM DNS records for the domain used by FromEmail. If you use DMARC, you'll need to add ExactTarget servers to the allowed list of senders.