Yes, wrote is a Scrabble word!

Verb

1. Produce a literary work

2. Communicate or express by writing

3. Have (one's written work) issued for publication

4. Communicate (with) in writing

5. Communicate by letter

6. Write music

7. Mark or trace on a surface

8. Record data on a computer

9. Write or name the letters that comprise the conventionally accepted form of (a word or part of a word)

10. Create code, write a computer program