No, I don't believe that man, dinosaurs, and the earth were created at the same time. They were created, in my opinion, millions of years apart, or more. The Bible, in my opinion, doesn't say they were created at the same time. YOUR interpretation of the Bible says they were created at the same time.
Genesis 3:4 “You will not certainly die,” the serpent said to the woman.
Genesis 3:6 When the woman saw that the fruit of the tree was good for food and pleasing to the eye, and also desirable for gaining wisdom, she took some and ate it. She also gave some to her husband, who was with her, and he ate it.
Isaiah 45:19 I have not spoken in secret, from somewhere in a land of darkness; I have not said to Jacob’s descendants, ‘Seek me in vain.’ I, the Lord, speak the truth; I declare what is right.
John 12:47 “If anyone hears my words but does not keep them, I do not judge that person. For I did not come to judge the world, but to save the world.
Luke 16:29 “Abraham replied, ‘They have Moses and the Prophets; let them listen to them.’
Luke 16:31 “He said to him, ‘If they do not listen to Moses and the Prophets, they will not be convinced even if someone rises from the dead.’”