Yes, you may have a crush on someone who is older than you. This older person may represent someone who is close to your heart. You also cannot help but admire the person because he already seems to be very accomplished. He has accomplished things that people your age have not achieved yet.
People who are older are usually wiser. They have gone through more experiences in life so they know how to deal with the different situations they would still encounter in the future. All of these things can make someone older more appealing for sure.