Can you transfer to private universities in 3 years?

Do schools like Caltech and USC take people who took three years to transfer?

How many units will you have upon transferring?

I will have 92.5 credits

USC limits the transfer of credit in certain categories. You may transfer up to:
Sixty-four (64) units of credit from other institutions, except where noted.
Four (4) units each of English as a Second Language, physical education activity courses and music ensemble courses.
Eight (8) units of dance.
Twelve (12) units of physical education theory courses.
Sixteen (16) units of individual instruction in music. • Other studio and performing arts classes are also limited. Check with an advisor.

Cal Tech states: We do not allow students to transfer during or for their senior year of college/university.

Cal Tech does not state transfer unit limits.

I would contact admissions at both schools to determine if transferring is possible. Better to get the information directly from the source.

thank you