If the Time was truely due, one can pray even if the athan wasn’t called. In Hanafi masjids, they delay Fajr and Asr prayers. One can pray before them as per the majority of Muslims.

sheikh i usually pray salat in my home.. in the net the time salat is given ..but Azan is given bit later.. sometime due to hurry or any work I pray before giving Azan …is it ok if I pray before Azan but in the right time of prayer?