No, I've never had that problem to any troubling degree. I can only remember to incidents where I was accused of doing something I hadn't done.
When I was 11 I played a ball game somewhat similar to baseball with a younger girl. I was never in great shape and I got sweaty. When I came to my grandparents' pace, I took off my jacket and was asked by my grandmother where I had been. I told her I had played dødball with M. My grandmother took my jacket and felt it, and said that it was far too wet for me to have played a ball game, I had to have been in water. Where had we been? I kept telling her the truth, that we had just played with ball and bat in the school yard, but she didn't believe me. Just because she never broke a sweat doesn't mean others don't. I still don't get why she thought I would have lied about it. If I had been in water, I would have no reason not to tell her.
In 5th or 6th grade a girl in my class came to school with a threatening letter she said had been in her mailbox. Someone claimed the handwriting looked like mine. That wasn't true, it looked like the way I had been writing when I learned to write contiguous writing, because I had huge difficulties getting the hang of it, and it took me 2-3 years to use it properly. (No, I don't think I was set up, I think whoever wrote it just tried to hide their own way of writing.) The girl accused just about everyone in turn about it and I was just one of many she looked to.
So I can't say that being accused has been a theme in my life.