Yes. We Christians think, evaluate, explore, do science, weigh data, ask questions, wonder, search, doubt, and learn.
There is truth all around us. We find truth in almost every corner. Learning is a wonderful thing. It's never a sin to think, to ask questions, to search, to doubt, to wonder, or to learn.
I mention a few verses as samples that show us using our minds is biblical.
Matt. 22.37: "Jesus replied: 'Love the Lord your God with all your heart and with all your soul and with all your mind.' " I show my love for God by using my mind. Lack of curiosity is a sin. Studying science is one of the ways we can love God with all our minds.
Luke 1.3: "I have carefully investigated all things from the beginning." The text is affirming research, critical thinking, data, and conclusions.
Luke 24.45: "Then he opened their minds so they could understand the Scriptures." God wants us to understand, to have open minds to learn, digest, form new thoughts, and take us deeper in knowledge.
Romans 12.2: "Do not conform to the pattern of this world, but be transformed by the renewing of your mind." It's our responsibility to be good thinkers. Notice in this verse that Paul’s appeal here is to the mind and the will, the body and the spirit, just like Jesus when He says, "Love the Lord your God with all your heart, soul, mind, and strength." All that we are is to be offered to God as useful.
1 Peter 1.13: "Therefore, with minds that are alert and fully sober, set your hope on the grace to be brought to you when Jesus Christ is revealed at his coming." Christians should never be content with a flabby and unexamined faith. You must think things out and think them through.
Acts 17.11: "Now the Berean Jews were of more noble character than those in Thessalonica, for they received the message with great eagerness and examined the Scriptures every day to see if what Paul said was true." Use your brain! Check things out. Evaluate, research, confirm or disapprove. The Bible calls this being "noble."