Report Abuse. As a nurse, I can tell you that it is perfectly safe to drive after having blood drawn. You're not donating blood, just getting it drawn for tests, which means they aren't taking as much blood.Just drink plenty of water and you'll be fine.Cassandra M · 8 years ago.s a nurse, I can tell you that it is perfectly safe to drive after having blood drawn. You're not donating blood, just getting it drawn for tests, which means they aren't taking as much blood. Just drink plenty of water and you'll be fine. Cassandra M · 8 years ago.