The IOC said it was deliberating on the controversy and would soon announce a decision.
Over 500 shooters are taking part in the Indian event, for which competition starts Saturday.
Pakistan, which has denied any role in the Kashmir attack, says two shooters and a coach were denied visas to attend the contest.
Lisin said the International Shooting Sport Federation and the Indian organizing committee had done everything possible to get the shooters to the contest.
But National Rifle Association of India president Raninder Singh said he could not go against the Indian government's decision.
Singh also insisted no final decision on the Olympic places had been taken.
"Nothing is canceled as of now. The status as of now is we don't know," Singh told reporters. "There are meetings that are going on where the position is being assessed by the IOC and the government."
Amid widespread anger over last week's Kashmir attack, some calls have also been made for India's cricket team to boycott its scheduled World Cup game against Pakistan in England later this year.
Media reports said Indian cricket's governing body, the BCCI, had prepared a letter calling for Pakistan to be banned from the cricket World Cup. (VOA)