Apply for I-129, Petition for a Nonimmigrant Worker, petition

My cousin got selected in the first round of lottery but his employer could not submit his I-129 petition due to some delays in processing the application. Can the candidates who were selected in the first round of lottery also apply for I-129, Petition for a Nonimmigrant Worker, if they failed to do so in the first round?

There is a 90 days deadline starting April 1st to submit the application.