I don't know, but it's possible to have good fine motor skills otherwise, but still have dysgraphia. With dysgraphia handwriting is messy, though, and there are usually a lot of errors like writing things backwards, forming letters incorrectly, not putting spaces between words, etc. Short samples might look Ok but beyond that it goes downhill.

When you tell her to write, is she copying from something else? And is she just starting school? Can she write her name or does she have problems with that too? I think if this is the first time you are asking her to write, and she hasn't had it in school before, it's probably normal. If it doesn't start to improve within a few weeks, and she's doing it daily in school, then there's probably something else going on.