No, Rocky was very trusting of me and it got to the point where I could do almost anything (within reason, mind you) and he knew he was safe with me. I did have to trim his beak once because he was chewing on a cotton rope and it split the end of his beak and a piece of cotton was wedged in there. I went to cut with some scissors (it's like trimming a finger nail... a LARGE finger nail!) and he bit down on the scissors and got me accidentally. It was pretty painful, but he wasn't after me, he just didn't know what the scissors were doing. That was the only injury I ever got from him.
When I used the dremel, it was so cute... he would sometimes try to bite the dremel, so I had to stick my head in between so he wouldn't get hurt. It's like he never put it together that my hand was operating the dremel!
When he had his eye injury before his cataracts developed, I had to administer eye drops. Keep in mind, I had to hold his beak/head like that for a few seconds with the eyedropper that close to his eye until the timer on the camera clicked... yes... he was very trusting.
Sometimes, when I had to hold on to him I put one finger in his beak and held his beak closed on my finger. He knew my finger was there and didn't want to bite down, and trusted that I was helping him. When we had to take him to draw blood, I asked the vet not to wrap him in a towel - he hated being confined - and she was amazed that he allowed them to stick a needle in him and draw blood without being wrapped up. The nurse just held him and pet him. He squawked once when the needle went in, but since they were holding him he trusted them.
All that is pretty amazing considering when I first bought him he didn't like people at all and lunged at me! In case anyone wants to read a looooong poem, here is one I wrote about the time Rocky and I came together:
http://mascotgraphics.com/parrot_ad.htm