In a word, no!

To really analyse 'sleep disorders', an EEG alone doesn't cut it. It gives limited (but vital) info only, and it needs to be correlated with eye movements (EOG- an electro-oculogram- these are leads applied externally close to the eyes to demonstrate REMs), an EMG (electromyogram- leads applied usually around the chin and a leg to check degrees of muscle tone),an actigraph to check restlessness or focal movements, an ECG, and to do the job completely, an O2 saturation monitor, nasal airflow detection set-up  and some way of assessing respiratory excursions of the chest wall to pick up respiratory effort and drive. Once you have all these parameters monitored you have yourself a polysomnographic set-up which is able to assess stages of sleep through correlating the various 'strands' of info and also detect evidence for the phases mis-behaving.