The art of is a common and well-known expression in English, but its cousin the art and craft of is also occasionally used. For instance, Zen and the Art of Motorcycle Maintenance by Robert Persig is a well known work of literature from the 1970s, and the second part of that ("The Art of Motorcycle Maintenance") spoofs a whole set of titles, with hundreds of thousands (including, undoubtedly, many false positives) on WorldCat. The general sense is of a "how to" in a specific skill.
The Art of is much more common than the craft of, the art and craft of, or the arts and crafts of, as an Ngram shows.
Another Ngram without the art of shows the relative popularity of the other expressions. The craft of is more often used than either usage with art/craft:
The art and craft of is much rarer as an expression but still sees occasional usage. I find it familiar. A WorldCat title search for the expression still turns up about 1,900 results, among them
- the art and craft of the cold kitchen
- the art and craft of motion pictures
- the art and craft of performing in comedies
- the art and craft of box making
- the art and craft of a failure detective
- the art and craft of TV directing
- the art and craft of political theory
- the art and craft of lighting
- the art and craft of motion picture editing
- the art and craft of stopping severe bleeding
Even if the expression isn't strictly common, it makes sense in these technical contexts.