Some of us are just more like this than others. I look around a family gathering and most of my husbands's extended family have some part of their body moving (feet tapping, thumb twiddling, finger drumming, constantly interrupting, some making odd noises (I'm looking at you beat boxing DS), falling out with each other, ALL the time.
If it's not a barrier for your daughter, and she's a generally doing ok and is a happy girl just try to go with it. Giving her something to fiddle with might help, music helped my son- guitar playing allowed him to move and fiddle all he wanted to. Keep her involved in as much active stuff as possible- sport, clubs after school and weekends.
I think that a large number of DH's family have ADHD but as there are so many if them, this is their normal so these behaviours are not viewed as a barrier. My son did get a diagnosis (mild to moderate) at age 18 when these and other ADHD symptoms affected his ability to function after the formal structures of school ended.
So, in your shoes I'd ask myself if these behaviours are holding her back, are they part of a wider picture? Is self esteem high? Are there others in the extended family who are like this? If the answer is yes, then I'd also chat to school about whether they have noticed anything. If she is trying to 'manage' this in school then she is going to be finding it very hard work.
Please feel free to disregard this post- I am not in the business of labelling people and I rarely post but your OP struck a chord.