I'd simply add to the other replies above that while it CAN happen, the ODDS are very great that it WON'T happen.
One of the main benefits of a CC versus a debit (or cash) is nice is the relative low exposure to theft one faces. Theoretically, the risk is on the vendor to verify ownership of the card, so any fraud comes out of the vendor's pocket.
Keep an eye on your CC statements - at home (especially) but also abroad. You should know what you are charging, so flag any suspicious transactions and let the CC company deal with it.
In the US, until recently, but still in restaurants, your CC or debit card were handed to a "stranger" where all the info could readily be copied. In Europe and much of the world, your CC/debit card never leaves your possession, and that is a huge reduction in risk - my made up WAG is 1,000x some random stranger cloning your CC.
Likewise, prudent security measures like turning on text alerts for CC (or debit) transactions is helpful for near immediate "I didn't make that purchase" fraud protection.
I do like the suggested RFID blocking wallet for travel in that when traveling, you really can cut down on the "stuff" you carry in your wallet. A CC or two, an ID, and some cash are about all you normally need during the day on vacation. If, like me, you have other stuff - insurance cards, a debit card, a backup CC, etc. - that all stays in the hotel in the safe with my passport and extra cash.