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No, you can most certainly get the card number and expiry via the chip and even over contactless, as it’s a vital part of transaction routing/processing. There are Android apps that can do it.
If I could I'd delete my original comment since I did more research and you're right.

https://stackoverflow.com/questions/14861908/apdu-command-to...

Yeah, and it's easily solvable with a sticker or a dremel to scrape the number off
You can't dremel it out of the chip, though.
Well technically you can. The card won't be so usable after that though. ;)
Destroying the chip is easy, actually chiseling away the correct trapped electrons making up the PAN in the EEPROM is the challenge ;)