Can you have "idiopathic insomnia with physiological hypersomnia"?

Insomnia: Yes. Oftentimes insomnia can cause or be effect of hypersomnia conditions. Caution because idiopathic insomnia is very rare and may be the effect of another underlying sleep disorder specifically if hypersomnia is present. If concerned please contact your pcp or sleep specialist because formal testing can be very helpful to weed this out and is generally not done in people with only insomnia.

Yes: It is usually anxiety predominant nightime hyperarousal, daytime lack of arousal and a secondary depression. Circadian rythm disturbance is also now recognized. You likely do not have apnea but if you snore then may need a sleep study. Effective pharmacology, if other things are ruled out, can get you feeling better, likely an anxiety problem; i can break it down for you, i treat it constantly.