US VISA B1/B2

I Entered usa on b1 / b2 visa type today , my visa expires 1st of October 2021 , but my i was stamped on my passport till March 2022 upon arrival , Will there be any changes of loosing my visa renewal if I stay for two months even after my visa expires ? Will the be any possibilities I can renew my visa in usa than going to home country Thank you