No you cannot overdraft a Cash APP card.
The cash app card is basically a prepaid debit card and not directly linked to your bank account nor is the cash app debit card a bank account.
The cash app card could pull money from your bank account though and if your actual bank account is low on funds then it could be possible for your cash app prepaid card to cause an overdraft from your regular bank.
So make sure you have enough money in your cash app card to cover the cost of any purchases you make with your cash app card.
Cash App does not offer any overdraft protection though because cash app doesn't allow you to use money you do not have in the account so you can't overdraft the cash app card like you possibly could with a regular debit card or a check when you have a checking account.