In most cases, no. In rare cases, this might be possible; students seeking permission to enter a class should first contact the instructor and receive their approval. LAS in general uses a waitlist for closed classes. If spaces become available in a class, they will be filled by students at the top of the waitlist.
NOTE: It is departmental policy not to admit students to classes that have already reached their enrollment cap, but instructors do have some discretion on this point to accommodate extenuating circumstances. Instructors also may, at their discretion, give permission for a student to be enrolled after the "add" deadline has passed by following an internal process.