This is what the UCI website states:
**Transfer students applying to majors with an asterisk are encouraged to also indicate an alternate major on the UC Application. All majors at UCI are selective and applicants are encouraged to earn the highest possible GPA.
- Computer Engineering, B.S.*
- Computer Science, B.S*
- Computer Science and Engineering, B.S.*
There is no mention that you cannot apply to 2 selective majors as the primary and alternate.
You could always email admissions to confirm.