Yes you can!!
You can file multiple claims as long as the total amount of the claims will not excess your excess.
For example: If you purchase a policy with a total excess of US$2,500, and damaged the vehicle for US$400, you can file a claim for that US$400, and you are still covered by the remaining US$2,100 during your future rentals.
Please note that if you file a claim, the “remaining excess” coverage might not be sufficient for your future rentals.