Hello there,
No, St. Xavier's College, Mumbai doesn't offer BSc in Food Technology. Here are some colleges in Mumbai which offers BSc in Food Technology or in Food Science. They are as follows:

1. Dr. BMN College of Home Science
2. SNDT, Mumbai
3. DY Patil University
4. Symbiosis International University

These are some colleges for your course. Their course fee is not much high.

Hope this answer helps you.
Good luck!!