Yes, however, you must enter the full name associated with the payment method you are using, even if you select to keep your donation publicly anonymous. If you do not, your transaction may be declined.
You will be given the option to hide your name when making your donation. However, the fundraiser is able to see the name of their donors. Due to banking laws, the campaign organizer will always be able to see the donors’ names as all donations are reported to the IRS per federal law.