no, spidermites lay eggs and make webs in the plant canopy, typically undersides of the leaves.

If they do too much damage, yes they'll make flowering stress out, but at your time frame, you're pretty close to being finished. If the damage isn't too bad, you could likely harvest on-schedule, and a little spidermite damage is said to maek the plant sweeter or more potent. I can't testify to this, as I'd prefer to have NO spidermites in my closet.