Can I still become a pilot if I have 'raynaud's' disease?

Yes. Raynaud's will not prevent you from piloting an airplane unless it impairs the function of your hands. Ask your physician if you have isolated raynaud's disease or if you have raynaud's phenomenon secondary to another disease. It may be important.
Yes. As long as there is no impairment of function is should be ok. If the raynaud's in not controlled, the faa would have to give final clearnce after a trial of treatment.