I am surprised that no one has mentioned that Coca Cola did exactly this, but offline, in New Zealand last year. You could go to a kiosk in a mall and line up (huge lines - coke is the #1 grocery product in New Zealand), and get your name printed on a can (or someone else’s name, so you could give them a coke to share with you). This was part of a larger labelling campaign that saw the bottles and cans shipped to stores pre-printed with names on them, exactly like this ("Share a Coke with YourName").
It was a pretty popular campaign, people loved feeling like they were more than just end consumers, but someone taking part in the whole ‘process’ of having a drink of coke.
(I should mention, since you had to specifically tell another human being what name to put on the can, the chances of “Pepsi” or “Cancer” getting on there were zero. I’m sure some people had fun, but it was heavily limited by simply having it parsed by a Coca-Cola-paid human brain first.)