I love Michelangelo's The Creation of Adam for his depiction of the connection between God and His human creation. Adam lifts his hand and God rushes toward him. That's how I imagine it is for everyone.
God is always with you, working hard in the background. He is yearning to be a part of your life, but He's not going to force Himself on you. Instead, He's creating opportunities to open your heart and make it easier for you to turn to Him. The minute you reach out to Him, He will come rushing to your side.
If you've felt that God is distant, it could actually be you who is out of touch. Reach out to Him and feel His presence.