What is a job I could do in the medical field that doesn't require drawing blood or poking people with needles?

physical therapy. You would be helping people exercise and rebuild their bodies after an injury, surgery or other disabling event. However, you're going to have to be tough enough to encourage them to push past what they think their limits are. Massage therapy is a great place to hide from needles and blood, and it definitely has it's place. How about working in imaging? MRI, CAT, PET, and x-ray all require people to set up and take the pictures.