✔ 最佳答案
Usually no.
Countries like Canada and Mexico has a different procedure because non-immigrants do not require to turn in I-94 at that moment of your departure.
If you want to stay, you must adjust your status before you depart to Mexico, which means that you must adjust from F-1 to B1/B2 before you leave the United States (to get a new I-94 for the B1/B2 for the latest departure date).
B1/B2 is a up-to-6-month tourist visa. So they can give you up to 6-months.