Nope. I've been checking various things every day with the prospective application number minus the X. The IVR (automated IRCC phone system) says it was received (I recently discovered that you must use applicant's date of birth with the IVR, or it can't find it), but nothing else. ECAS and GCKey can't find it at all.
When I called last month, the phone agent said that a "DCR Deemed Complete" note was added on March 29, and they confirmed that the application was still prospective and that no AOR had been sent. They could not guarantee that the application would not be returned for incompleteness (only the AOR guarantees this), and they could not provide an estimate for when the AOR would be sent.
Two weeks ago, I contacted my MP's office to get more information from IRCC. I wrote the full response
here. Essentially, it seems that they are processing sponsorship eligibility, applicant eligibility, and criminality. This to me would indicate that they are doing some substantial work on the file. And yet the application is still "prospective" in the system, and no AOR has been sent. It's really very strange.