Yes, this quite easy IT wise, and could be organised in a relatively short timeframe. And at the end of the process your card number might pop up in a list of foreign plastic used year round for an amount too large to be honest. If I was RD I'd take a sample of maybe the 500 worst cases and 500 random selections, get personal details from the issuing foreign banks, submit these to immigration and call for interview all those on long term visas. "No rocket science" police work.
Also if I was weak on computing power I would use data from the ATMs located around well known expat ghettos. Nice way to get sexy early results, which would get the media horny.
All in all much simpler than anything advertising agencies do with our data to flog their excrement.