Yes. This is possible as an additional tax-deductible gift. Once you have selected your preferred payment method, the form displays a check box where you may elect to “Add <fee amount> to cover payment processing fees so that the nonprofits in your basket will receive the full <donation amount> donation.” 

Fee coverage does not include the $1.01 per check processing fee when we use a check to disburse funds to nonprofits that receive donations through the Giving Basket. That fee is subtracted from the lump-sum check, applied proportionally across all donations included in the check.