The verb stop has many shades of meaning, but even with that of ceasing, the word licenses the preposition with and has long done so:
From Comedy of the Beaux Stratagem (1817) by George Farquhar et al.
If what I am now writing is destined to meet the eye of any reader, young and inexperienced in dramatic compositions, let such either stop with me, if curiosity can be controlled, or be prepared to admire the brilliancy of the dialogue without approving of the pinciples of the speakers in the following scenes.
That is, let the young and inexperienced be done with the author.
From The Legislatorial Trial of Her Majesty Caroline Amelia Elizabeth (1820):
The next day Luigi came to me with my wages, and told me, “As I was an honest man, I ought not to stop with thief takers any longer"
Here stop has the meaning of keeping companying or staying with, as in an overnight stopover. Interestingly, it doesn't mean to stop having to do with thieves, but to continue the association.
For a more modern usage, take a passage from Philosophy in Process (Vol 7, P 2, 1985) by Paul Weiss:
If we found that the white and black children did mirror the distribution of the whole population of children, we would stop with this.
For a loftier example, this from Three Lives (1909) by Gertrude Stein
“Don't you ever stop with your thinking long enough ever to have any feeling Jeff Campbell,” said Melanctha a little sadly.