applying to UCLA for nursing as a transfer student from a private university?

For 2016, UCLA accepted 10 Nursing transfers from 183 applicants (5% acceptance rate). Your odds are better at your current school. There are many other Nursing schools in California that accept Nursing transfers: UCI and the following Cal states:
Bachelor of Science, Nursing
Bakersfield
Dominguez Hills
East Bay
Fresno
Fullerton
Long Beach
Los Angeles
Northridge
Sacramento
San Bernardino
San Diego