Can raynaud's disease make you have flat nipples?

No relationship. Raynaud's disease is due to spasm of the muscular lining of the blood vessels due to temperature extremes. I am not aware of any effect on the nipples or other parts of the body other than the extremities such as fingers, hands, toes, and feet.
No. Raynaud's phenomenon can cause nipple color changes (blue, white or red), especially with exposure to cold. Nursing mothers with raynaud's can get redness of the areola. Pain in the nipples of nursing mothers is sharp, shocking, or throbbing.

Related Questions

Can chronic venous insufficiency cause or be related to raynauds and spider & cherry angiomas on chest? Fyi not pregnant or on hormones of any kind

No. It is not related to raynauds. In a rare syndrome from birth called klippel-trenaunay syndrome, patient can develop port wine stains or other vascular skin anomalies associated with variety of venous malformation in the legs which can end up with venous insufficiency, but this occur from birth and will be evident in childhood and adolescence .. If the symptoms just started then the answer is no. Read more...
No. They are all unrelated. You could even have all three of them (although that would be quite unusual) and they would still be unrealted. Read more...