Is exhaustion contagious if it is based on an illness?

Both my dad and I had severe exhaustion today, I got my mother to climb the stairs to drop off my pre made food cause I was too tired to climb down the stairs and back up again, a 3 hour nap helped me recover and my dad also had extreme exhaustion today. Like the last time I was this tired I think was 7 years ago when I was climbing uphill to get back to our car after a downhill climb.

Is exhaustion contagious if it is based on an illness?
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