1902. The earliest evidence Quote Investigator locates is a precursor, and it is about spelling, not music: the superintendent George W. Loomis, in the Michigan School Moderator of 20 March 1902, complains that classroom time is spent hearing children “guess till they get it right” when it should go to “a definite teaching process, until they can not get it wrong.”
1922. The distinctive second half surfaces in a swimming manual, advising the reader to drill the breast-stroke coordination on land “until you cannot get it wrong.”
1944. Buck prints the complete amateur/professional pairing in Psychology for Musicians, page 102, as an anonymous definition. Note the British inflection — “practises,” “can do a thing right” — against the smoother modern slogan; the version quoted today is a later polish, not a transcription.
1971, twice. The wording most people now recognise appears in the Winnipeg Free Press of 6 March, spoken by the adjudicator Kenneth van Barthold at the Manitoba Music Competition Festival: “An amateur practices until he gets it right; a professional practices until he can’t get it wrong.” Eight months later the same paper carries the theatre version, in Peter Crossley’s review of a University of Winnipeg production on 11 November: “an amateur rehearses until he gets it right but a professional rehearses until he can’t get it wrong.” That is where the verb rehearses enters the record — unowned, and twenty-five years before the Andrews credit uses the same word.
1994 and 1996. Two names arrive late and from outside. Nigel Rees’s newsletter attaches Harold Craxton to it; two years later a Carnegie Mellon professor attaches Julie Andrews.