可以的，只要H-1B申请是按时递交了，抽中的时候您还是在有效的F-1身份期间，那么是可以申请cap-gap延期的。移民局的官方说明是：
H-1B petitions that are timely filed for an eligible F-1 student that request a change of status to H-1B on October 1 qualify for a cap-gap extension.
Timely filed means that the H-1B petition (indicating change of status rather than consular processing) was filed during the H-1B acceptance period which begins April 1 while the student's authorized F-1 duration of status (D/S) admission was still in effect (including any period of time during the academic course of study, any authorized periods of post-completion Optional Practical Training (OPT), and the 60-day departure preparation period commonly known as the "grace period").
