Hi,
I worked years ago on two similar simulators for football tactics and practices, it was great fun!
This is going to be very very tricky. You need to define what you want to take from the touch movement, you will want to record points and then process them to standardize speed, so you need to look at a spline generation system and some pretty complex algorythms.
I would start by contacting existing spline creation tools available on the asset store and ask them if they support spline generation based on a list of points generated by a touch event. This is your first step.
Else, you should create a recording system very much like how vectrosity did for its drawing system, where you record a new point with fixed distances in between, then you can create a spline/path based on that ( again using an existing system on the asset store). you store that spline, and this is your base to replay the action.
The brute force version is to record the absolute position every fixed time laps and replay that as is. for example, record every half a second the position of the touch, and you get a list of points with a fixed time step gap. when you replay you simply position the player every halves a seconds on the related position.
So, in all cases you are in for some pretty complex system
Keep us updated on your progress!
If you have trouble with all this, let me know, we'll see how we can progress on this.
bye
Jean