Hii ,

Yes you can definitely do the choice filling of Neet Undergraduate  counseling in second round if you have missed it in first round.

For further information regarding counseling you can check the below mentioned link.

https://medicine.careers360.com/articles/neet-counselling-faqs

To get the complete list of top colleges you have chances to get admission you can use the below college predictor tool

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

To open Copy and paste the link in the new tab

It gives you a detailed analysis of the Top college you can apply for which helps you to make correct choise  and decision while during the counseling.

You can also check cutoff predictor tool from the below link

https://medicine.careers360.com/articles/neet-cut-off

Hope this will help you,

All the very best !!