Sure. Go to Walmart and buy a reloadable, prepaid debit card using *cash*.

Register online using a fake name of your choice and any address except your home address. The actual card with your fake name will be shipped to the address you provide.

    Pro Tip: You *can* actually use a P.O. Box for this.
    Every local post office has a valid street address.  
    Use it but add your box number as a second line, for example:

    John Q. Public
    987 PO Street  <--- street address of the post office
    #1234 <--- your box number
    SomeCity, AA 11123

Reload your card at Walmart using *cash* as needed.

It helps to have an anonymous burner prepaid phone number too. Ultra Mobile Paygo is only $3 per month (check eBay for SIM). Very useful for lots of other purposes too.

Enjoy your new identity! You're welcome.