Yeah - Sunday Ticket and Game Pass both have apps for the Firestick, and probably other devices too. One login per account, though.
I used both apps last year, using my son's college email. Both auto-renewed for this year, without requiring proof of college enrollment. (He is, though.)
I signed up and paid for it myself using my son's college email address. He had to respond to a confirmation email and send proof of enrollment for that semester; other than that, he wasn't involved in the process.