Following bank approval, you can receive an emergency replacement card in 1 to 3 business days. (rewardexpert.com)
Most card issuers will not cancel your cards automatically, instead, they will send replacement cards right back and wait for you to make the next move. (think-creditcards.com)
Besides, you can always go get replacement cards later on down the line once you've got your finances sorted. (resolvebadcredit.com)