Can I drop off furniture and donations at this location. If so, what days and times?

Pretty much any time.

I have a wood desk - good shape -- 4 1/2 ft by 3 1/2 ft Looking to donate to the Taylor St San Jose store.

Yes they do but very picky

HI Ogden is correct. But the furniture needs to be in decent shape. I've seen the Salvation Army reject furniture that was not resellable / badly worn. It is particularly choosy with old couches. This Salvation Army accepts donations up to 7:00 PM, Saturdays and Sundays too. Be sure to arrive by 6:45 PM.