Yes. AP scores are self reported. An official score report only needs to be sent to the school one is attending for credit/placement. Sending official AP score reports with applications is a waste of money.
As far as the scores themselves, well, a wall of 5’s will be viewed more favorably than a mix of 2’s and 3’s, but IMO 13 4’s and 5’s is not more impressive to admissions than 5 4’s and 5’s. School differ on AP policies, course restrictions, offerings, etc. And then there is the socioeconomic conversation regarding cost.