meaning of 'rise to do'

What does 'rise to (do)' mean in this sentence? Something like 'come to' or 'get to'?

They later went to work at regular jobs. But none rose to become a good scholar or a fine artist.


It's closer to "get to" (or, more closely, "go on to"/"went on to") than "come to", unless the speaker and audience are all fine scholars and artists.