Yes, this is known as a conjoined wage arrestment. Rather than the employer, multiple wage arrestments are administered by a local sheriff clerk.
Fortunately, it does not mean you have to pay more. Instead what happens is the amount deducted is divided up between those that are owed the money. Quite simply, the first creditor who arrested the wages will see the amount that they get become reduced. The second wage arrestment won’t get what they would have gotten, had they been the only creditor arresting your wages.
However as we would always suggest, it’s better to get advice as soon as possible so that you can try to stop the wage arrestment before it is executed. That advice remains the same whether you’ve had a threat of a single, or conjoined wage arrestment.