No. The movie has a lot of romantic stories, but also looks at love between stepfather and stepson, love between brother and sister, and (this one) love between colleagues (the aging rockstar and his manager).

Specifically: the rockstar walks into the manager's flat near the end, having just left a massive party at Elton John's because he reckons you should spend Christmas with someone you love, and he's just realised that most of his life has been spent with his manager, that his manager is the closest thing he has to a family or best friend, and that the manager is "the fucking love of my life". It's rather sweet.