I agree with hitch, on one level but I also caution you from continuing to try and message her. She set up a boundary and you are, in effect violating it. you don't know if she's just being polite. The apology was appropriate but to be honest if I tell someone I no longer want to be in contact it means what I say unless I say otherwise.

My point being I don't think you should give up on the friendship either, but not sure that continuing to message her (whether light hearted or not) is fair to her or if it's really kind of rude? I'd send one message and then leave it at this. Ask her if it's alright that you're messaging her again - get it out in the open. Do NOT message her until she responds to that.