No. The building requirements for lab space make it infeasible to retrofit existing offices.
For instance, lab buildings typically require floor-to-floor heights of at least 15 feet in order to accommodate 5+ feet of mechanicals for every floor. They concomitantly require much larger utility risers between floors, and floors that can support much heavier loads than office buildings.
Why would it want to? The heart of biotech in the Bay Area is South SF. Genentech is there. And developers have built several millions of square feet of lab space in the last 5-10 years just West of 101. It's amazing to see 3-4 towers that have gone up in just a few years.
South SF is very business friendly, there is plenty of open land and it's nice to plant your company somewhere where there are dozens of other start-ups/small biotechs within a 10 min walk.
There is some biotech around USCF in Mission Bay (and some venture firms), but it's pretty small at this point.