Is there any such program that allows me to graduate in 5 years from UCLA with a Master’s in CS?
No, the only UC I believe does that is UCR. However, what you could do is take Applied Math and half of your major classes in the Master’s Program for CS will be completed. So, hypothetically, 5 Year Master’s in CompSci could be done.
UCSB, Davis, and probably several others offer a 5-year BS/MS program for CS majors
There’s a departmental scholars program that lets you concurrently get a masters and a bachelors degree, although it might not necessarily be completed in 5 years. For more information about that, get in touch with counselors.
There’s also the ESAP (Exceptional Students Admissions Program) program where you’re guaranteed to get into UCLA’s Masters in CS program if you graduate with a 3.5 GPA as a UCLA CS major. However, this program isn’t a concurrent degree program