Hello Aspirant,
No you cannot take part in NEET UG counselling for government medical colleges of Karnataka because 100% seats in government medical colleges of Karnataka are kept reserved for Karnataka candidates. If you are seeking admission in Karnataka state then you can go for private seats of private medical colleges that are open to candidates across India who have qualified NEET UG.
Also note that as you belongs to Maharashtra so you will not be benefited with your reservation category(if you have any) because for other state candidates there is no reservation benefits for medical colleges in Karnataka even for private seats. So to get an idea of previous year's cut-off of medical colleges of Karnataka you can check out the link given below :-
https://medicine.careers360.com/articles/neet-cutoff-karnataka
To have a list of all those colleges which you can get based upon your marks, category, and state you can use NEET College Predictor because it will make you comfortable while choice filling in counselling :-
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
If you want to prepare further for NEET 2022 then to help you in your preparation we have some resources which you can access from the link given below :-
https://learn.careers360.com/knockout-neet-may
I hope this information helps you.
Good Luck!!
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