In theory, yes.AFAIK, you can measure the strength and angle with which the blade presses the ice, distribution of the skater's body weight along the blade as well as speed and direction of movements by using sensors.
But I don't think the technology currently exists to do this in a way that is unobtrusive both for the skaters (would the sensors be attached to the blades or boots? or under the ice?) and for the viewers (judges and spectators -- would there need to be equipment that obstructs views?), and then would be affordable on a large scale for skaters and competitions at all levels.
It would be interesting to start a pilot project to develop such technology. But I think it would be decades away from being ready for widespread use.
Again, if you think it's possible with current technology, please develop it, or hire a tech expert to do so.Probably some other features too and they will probably grow in numbers with each year. I guess this could bring answers at least to some of your questions.
As for counting turns, steps etc. I guess a simple app using slow mo good quality video could do it much quicker and with higher credibility than another volunteer.
Otherwise, I think it's easier said than done -- that the eyes of skating experts can do a better job than technology that could be ready for use by, let's say, summer 2026.