In the O.T. most were chosen to experience that kid of relationship...
But in the New Testament, anyone can.
P.S. these are still new testament times we are living in, so .. it's on you. He's already given us all a connection, and that would be His Son Jesus.
The verse I'm referring to is from the Bible, specifically Revelation 3:20 (King James Version):
"Behold, I stand at the door, and knock: if any man hear my voice, and open the door, I will come in to him, and will sup with him, and he with me."
These words are spoken by Jesus Christ in a letter to the church of Laodicea, as conveyed through the Apostle John in the book of Revelation. It's about Jesus offering a personal relationship to those who are willing to open their hearts to Him.
Oryou can pray..not sure I've seen you talk about that form of connection/communication/conversation... but I'm certain you've at least heard of it.