This is a question I have heard many people ask over several decades. The answer of course is YES ABSOLUTELY.
I usually refer them to multiple scriptures where Jesus Himself talks about knowing our hearts and our thoughts, our words and our actions..
Then I sometimes tae people here to Jeremiah the Prophet in chapter 1 and verse 5 which says
Before I formed thee in the belly I knew thee; and before thou camest forth out of the womb I sanctified thee, and I ordained thee a prophet unto the nations.
The Lord God knows each of us from before we are ever born and even conceived in our mothers.. There is nothing hidden from HIM. He is Omniscient which means HE KNOWS everything and all truth and knowlede and wisdom comes from HIM....
SO yes, GOD KNOWS each of us, no matter if we choose to not submit to HIS authority or His Words, He still knows everything about each of us and keeps a few books on each of us as well..
Yet, He does not force anyone to come to Him and ask forgiveness of their sins and for salvation through Jesus Christ.. YOU have to decide for yourself and be convicted of your need for forgiveness and need for a Savior to pay the penalty of your sin debt for you...
But rest assured, HE know you and every thought you have have had and every word you have spoken... There is noting HIDDEN from HIM....