The Bible doesn’t explicitly deal with the possibility of human time travel. However, it does express that God exists outside of time. He was “before” time, will be “after” time, and is not bound by its limitations. He created time it as a boundary for human life.
In our western context, we tend to view time as linear. We start at Point A and end up at point B. However, the middle-Eastern Hebrew mindset saw time as a cyclical series of patterns. They started at Point A, circled around to Point B, then came around again to Point A, establishing a pattern along the way as the cycle continued.
This is the contextual framework of Scripture. Some things—but not all—were created as cycles. God set evening and morning in motion, created spring to blend into summer, autumn, winter and back to spring. Man wasn’t meant to see time as something to control or manipulate but rather as a means to experience the patterns and character of God Himself.
The Bible indicates that every person has a time appointed for his death (Hebrews 9:27) and that God knows every person's days before they happen (Jeremiah 1:5; Psalm 139:16; Acts 17:26). Man cannot change the time of his birth and death in history. The Bible also mentions that every event happens according to God's timing and plans (Genesis 21:1; John 7:8; 1 Timothy 2:6). Even if man could travel through time, the events would still remain in God's control and would adhere to His timing.
Although the Bible does not mention the possibility of time travel, the Bible reveals that God is the only one independent of time. This does not necessarily mean that God "time travels," but it does mean that God sees time in a way that surpasses our own understanding of it (Genesis 1:1; Exodus 3:14; 2 Timothy 1:9; 2 Peter 3:8). God has complete knowledge of all things; He is "omniscient." Isn't it spectacular that when we pray, we pray to a God who exists in past, present, AND future?
Sometimes, God will allow His people to have visions, which permits them to see future events coming to pass (Revelation 1:9–11; Daniel 7:13–14). There are arguments that the visions John experienced in Revelation were "time travel," because he saw the events that will accompany the apocalypse.
It is important to note that if we were able to time travel, it would not change our relationship with God any more than did discoveries about physics or chemistry. Psalm 90:12 says, "So teach us to number our days that we may gain a heart of wisdom." We should treat each day as a gift and live them wisely, because we do not know how many days we will experience in this life, and we do not have "do overs" (Ephesians 5:16; Colossians 4:5).