In one simple word: No.
AWS D1.1 requires a visual examination and volumetric examination before any of the mechanical tests are performed. The VT requirements of ASME Section IX are sparse (being kind), there is no volumetric examination required, and the acceptance criteria for the bend tests are not as stringent as D1.1.
If the intent is to meet both AWS D1.1 and ASME Section IX, the decision must made before the test plates are welded to ensure the base metal meets both AWS and ASME requirements. The filler metal must be considered as well in the off chance the filler metal does not meet both codes (unlikely for most welding). The testing regime must be considered as well to ensure the more stringent requirements of AWS D1.1 are met. And last, but not least, the individual responsible for setting up, witnessing, testing, etc. must know which ASME construction code is applicable because there is a chance the construction code will alter or modify the testing requirements.
Additionally, one must also consider the fact that the essential and nonessential variables are different. AWS has a host of welding variables that must be addressed by both the PQR and the WPS that are not required for ASME Section IX. A PQR intended for ASME doe not have to record data required for AWS. There is no honorable means of entering data that was not recorded on the original PQR. In other words, it is not considered to be good form to pencil whip the existing ASME PQR to make it work for AWS.
It reminds me of the numerous inquiries I've had for the question, "I am trying to fill out the PQR. Where do I find the voltage, amperage, and wire feed speed for my PQR and WPS?"
My response is, "You have to be there to play the game."
There are a lot of hoops to check and jump through to ensure the PQR is qualified appropriately for both AWS and ASME. The WPS, well that is a different can of worms.
It is difficult enough to qualify a WPS to one welding standard. I reject about 80 to 85% of the welding packages (PQR, WPS, and WPTR) that I review because the package does not meet all the requirements or limitations imposed by the applicable welding standard. I often have to reject prequalified WPSs because they do not address all the variables required by D1.1. Trying to satisfy two welding standards at the same time is exponentially more difficult.
Best regards - Al