Here is the catch with the federal law...(state laws might over ride this).
OT is a therapy that supports access to Specialized or Regular instruction for a disabled student. It isn't a primary disability. So if you don't have an IEP for some sort of primary disability where you are receiving specialized instruction, interventions and/or accommodations, then your regular run of the mill kid can't get it at school...and it has to be educationally relevant not medical per say.
Now if the disability is Physically Impaired then chances are the related therapies will include OT and PT to help access the education provided.
My state has education plans for the gifted and groups them under ESE. I did get an OT evaluation for my son and he didn't qualify for therapy but they did make a bunch of recommendations for accommodations. But she actually couldn't find any real reason why his handwriting is as delayed as it is.
My older son actually has hypotonia and is gifted but you can read his hand written stuff...he is just slower at it that the average bear... and now has a 504 which allows for extra time on assignments and testing as needed and allows for technology usage as needed (which isn't really so much as an accommodation these days because all the kids are using devices, it is more that a teacher can't say no, if they have a problem with technology, if he asks).
