Yes, but it will lack many important features that most people need.
To get a regular prepaid card in the United States, you need to have a Social Security Number (SSN). However, temporary prepaid cards can be obtained without an SSN. They are not personalised to the buyer, cannot be issued with an account application, and are non-reloadable. Also, the temporary prepaid cards you can get without an SSN cannot be used for cash withdrawals at ATMs and do not work for money transfers. So, the prepaid card you can get without a Social Security Number is more like a gift card.