Is there any connection between systemic lupus and raynaud's phenomenon? do people with lupus sometimes have raynaud's as part of the illness?

Not always: Raynaud's phenomenon is an exaggerated vascular response to cold temperature or stress. It is not specific to any disease & can be associated with a long list of conditions. It can also occur without any underlying disease (so-called primary raynaud's). Only a small percentage of patients with lupus tend to have raynaud's phenomenon.