Can the pharmacists give the request for the TSH blood test and then, depending on the results, change my dose, if necessary?

Synthroid--I don't have a family doctor anymore and I need to renew my synthroid so I need to have blood drawn to check TSH. I called the First Line Access Desk to see a doctor and was told that pharmacists can now give me the request to go and do the blood test? I think she was mistaken and meant they can extend until I can see a doctor. I would think that would be great, because in my life I've only changed my dose 3 times, and I can recognize when my dose is too high, and it would save me from going to the doctor just to get a paper to take a blood test and leave room for people to go to the doctor, because they don't feel well. I called my pharmacy to inquire and they never called me back...