Ambition is what you can become, not what you are.
The only way of applying without dishonesty would be to do so while openly saying “I don’t tick all your boxes, but I still think I’d be a good fit because XYZ”. I might like this if I saw it in a job application, because it means the applicant was paying attention and not just applying to everything… but that doesn’t work so well when there’s already a “Preferred Qualifications” section, and might even have the opposite effect.