Yes, I do and I think it's a very good idea, for MOST people. Yes, I understand what stephtronic is saying - it can cause obsessions in people in the throes of severe HA. However, that being said, I'm 47 and have copies of my medical records going back to my early 20's and BY FAR this has given me more reassurance than fear. The great thing is that you can look back on past blood work and test results and see what's 'normal' for you. Then if things start to change and you are concerned, you can bring it up with your doctor and come from a position of being accurately informed with proper documentation. This can be quite helpful for your current doctor, as well, if they have not seen medical records that existed prior to you going to them.
Having my medical records to refer to has helped me answer questions over the years many more times than it has caused me to have fear. All this being said, if you cannot view your medical records (test results, etc) without becoming extremely anxious, I would say to take your doctor's word for it and let it go at that. I only started getting copies of my medical records in my late 20's because I had moved a lot, changed doctors and needed to keep track of this stuff. To each his own, I guess.