<p>No. As noted on [this</a> page](<a href=“http://www.jacobsschool.ucsd.edu/admissions/admissions_freshman/steps.shtml]this”>http://www.jacobsschool.ucsd.edu/admissions/admissions_freshman/steps.shtml), if you’re accepted into UCSD, there is no screening process for engineers, except for impacted programs (BioE Premed is not impacted). So as long as you get accepted into UCSD, you’ll get accepted into BioE Premed.</p>