Are you supposed to pull your eye lashes every day to make sure none of them are loose enough to poke your eyes?

No: There is no reason to pull out loose eyelashes. They will not harm your eyes when they fall out by themselves.

No: Eye lashes, like hair everywhere else on the body, have a particular growth cycle. When they fall out, they tend to get caught by your other lashes or drop onto your face. Occasionally, a lash may fall onto the eye, but the natural tears end up flushing it out. Pulling the lashes may cause some to be releasse prematurely, giving a thinned appearance to them.