Hello Aspirant,

Hope you are doing well!

Yes,dear you can apply both for state counselling and All india counselling, but you have to select a college fast because then you will have to submit all your orginal documents at the time of counselling they give you forms for filling details considering you will be taking admission there,also you will  be charged fees accordingly,so its better to select a college and attend its counselling,than to try catching both the rabbits.

Hope this was helpful!

All the best!