Hi Mindy,
What do you mean by normal blood work? Are you talking about antibodies?
If you have thrombocytopaenia then by definition you have low platelets, so your blood work is not normal.
On the other hand it is quite possible to have low platelets and other tests be normal, such as a negative ANA or a normal liver function test.
I've had thrombocytopaenia (mild) several times, sometimes as my only dodgy blood test resutl, sometimes in combination with several other abnormalities.
All the best,
X C X