come up (to/with)

[beachboy]

He rang to say he would be late home - something had come up at the office.
Is it right to say Something had come up to (or with) his wife?

[SoothingDave]

with

[freezeframe]

He rang to say he would be late home - something had come up at the office.
Is it right to say Something had come up to (or with) his wife?

Unless something (ex. a giant bear) actually had come up to* his wife.

*that is, approached