NEET is a national wide conducted exam and the results are as well accepted the same all over India. So you have all options to have choose a college other than Rajasthan. You can as well attend the counselling of mop round for others.

If you are domicile of Rajasthan then for the Government seats you can apply only in your state but if you wish to take admission in other state colleges then you will be eligible to apply for the Management quota seats.

Good Luck!