You can just perform a hard reset by holding down the power and refresh keys for 10 seconds. Then check to see if the charging indicator light turns on when you plug in the charger. If not, try another hard reset and check back. If it works, they suggest charging it for an hour before trying to start it up again.
More methods that you can try to solve the problem.
https://www.minitool.com/news/chromebook-wont-turn-on.html