Dear Eggetarians. I need your help.

I recently started going to gym. And decided to consume eggs for protein requirements as I am unable to get enough protein from veg foods. My family is strictly vegetarian. Can't even tell them about eating eggs. So I started eating non-veg discreetly. The issue is there are no restaurants near my home which serves boiled eggs. Even if a very few are there, they open after 11AM. I generally like to eat eggs at morning after gym. So bought a new egg boiler and decided to boil eggs in my room. Can I keep these kind of supermarket eggs inside a cupboard or inside a closed bag for few days? I can't use fridge. Will it be free from bacteria? Is it safe to eat? Need some suggestions.