First, know this: God wants to be close to you
Closeness with God isn't something you have to convince Him of. The whole story of the Bible is God closing the distance between Himself and people.
From the garden of Eden to the cross to the promise "I will never leave thee, nor forsake thee" (Hebrews 13:5), Scripture tells one long story: God pursuing people. Jesus didn't come to make God love you - He came because God already did (John 3:16).
So if you feel far from God, the distance isn't His idea. And the way back is shorter than you think.