The phrase "an ability to do everything" is correct and usable in written English.
It can be used to describe someone who possesses a wide range of skills or talents, suggesting versatility or competence in various areas.
Example: "Her reputation as a jack-of-all-trades stems from her remarkable ability to do everything from coding to cooking."
Alternatives: "a talent for anything" or "a skill set for all tasks".
Carter was the star of the Las Vegas Summer League, showing an ability to do everything at both ends that a big man needs to in today's game.
Mainly because no one else has demonstrated an ability to do everything Sulon Q does in a single package yet – and that includes industry heavyweights like Oculus/Facebook, and like Intel.
The best way to start your own obviously small video/commercial/film production is to have an ability to do everything (the product) from the beginning to the end by yourself just in case of some unexpected circumstances so you are the director/producer/photographer/editor also be able to work with audio post production - mastering is a plus.
Finally, what I would consider to be her most important skill, is her ability to do everything with a smile on her face and a brilliant positive attitude.
Your memory and ability to do everything that you need to do is sharpened, because you're not a child just playing in the dirt.
Our purchase of the factory gave us the unique ability to do everything from grinding the steel to selling blades directly to our customers.
TiVo last week brought to market its Series 3 digital recording box, which appears to have the ability to do everything from record in high-definition to take video files through a broadband Internet connection either directly or wirelessly.
Pearl is the most sympathetic character in "The March," the one we root for, but her ability to do everything right opens the author to the charge of sentimentality, to which white writers on the evils of slavery are understandably prone.
Anselm's solution is to explain that omnipotence does not mean the ability to do everything; instead, it means the possession of unlimited power.
