Can (custom) gpt be made to initiate/generate a new chat thread or a new message inside an existing thread (maybe time based) without user prompting

How do I replicate the experience of a friend sending me a text message/ initiating a conversation, (say to check in with me), without being triggered or prompted by me, with custom gpt acting as my friend in this case?

Hi krshnaya,
Did you ever figure this out? I am interested in something similar.
Thank you!