Can a pinch nerve in the right elbow cause any other bodily issues?

Unlikely : If you have been diagnosed with a pinged nerve in your elbow by a doctor I am thinking then you most likely have a definite diagnosis. If that is the case this type of problem is usually localized and can cause pain and numbness in the affected area.If you have not been evaluated and you have other symptoms in other parts of your body i recommend you get seen by your pcp sooner rather than later.