Even if he does not qualify for the OT help at school, they could still give you some ideas of things to work on at home. Choose fun activities like picking up small objects with tweezers, fingerpainting letters, stand up and write at a chalkboard, trace a dotted line of a bee flying in circles, follow a maze without touching the lines, etc. Ask if they use a certain method of learning to write, such as Handwriting without Tears.
Another thing to ask is whether they have a social skills training group. Sometimes this falls under the category of speech.
When my son was 3, my friend who was an OT saw him W-sitting(a sign of poor muscle tone) and she told me that he would have a lot of trouble with handwriting. I don't really understand what core muscle strength has to do with writing, but she was spot on with her prediction. My son was diagnosed with Aspergers/ADHD in kindergarten, and has dysgraphia/disorder of written expression. He didn't qualify for OT at school til 2nd grade, so we did private OT until then. Unfortunately, after so much pressure to do better he has meltdowns during writing(now in 4th grade). He never colors or draws for fun. He picks the shortest possible sentences to write, and panics when he has to figure out which direction a number goes.