Dear aspirant,

According to your question and taking into consideration that you do not have domicile although you are doing 11th and 12th from 12 Std,so you should be able to claim your domicile certificate.

If you have your own home in himachal pradesh then you can absolutely claim for your domicile certificate but if not then also you can make showing your 10th 12th documents which proves you have done your schooling from there.

But if you don't have domicile certificate then you can't apply for himachal pradesh counselling.

You can also ask your doubts in comments section if you have any.