Is testing June 20, 2020 considered late and might hurt my chances in the 2020-2021 cycle?

I plan to submit my primary on June 1st to one school, get it verified, pre-write ALL my secondaries end of June/July, and then (if my MCAT score is good enough) apply to all schools once I get my score back July 21. Would applying this late in the cycle hurt my application?
Source: Student Doctor Network - Category: Universities & Medical Training Authors: Tags: Pre-Medical - MD Source Type: forums