Hi there,
Whether you can apply to another univeristy and finish the course, depends on the school's policies.
Also it would help to see an academinc mentor or tutor, show them your other assignments and essays (since you successfully passed all the other modules) and ask for their honest feedback.
Lastly, you may want to speak to the admissions team as they can tell you if you can move on and study one module elsewhere.
Let me know if there's anything else I can do for you!
Best of luck,
Melanie
LSBU Rep