It is possible to know God personally...
The Bible Teaches That God Loves You
"For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life." (John 3:16)
and...God wants you to know Him personally
"Now this is eternal life: that they may know you, the only true God, and Jesus Christ, whom you have sent." (John 17:3)
but...Man is separated from God and His love
"For there is one God and one mediator between God and men." (1 Timothy 2:5a)
Why do you think man is separated from God?