Yes, it's possible to send multiple gifts to the same recipient, but the approach depends on the type of gift and sending method.
On Demand Marketplace items cannot be combined into one shipment, as they ship directly from individual vendor partners. To send recipients multiple marketplace gifts, send two invitations for them to redeem. Keep in mind, the recipient will receive separate packages.
Custom/warehouse gifts can be combined, in several ways.
Select the 'All of these gifts per recipient' method during checkout after adding multiple items to the shopping cart.
Send a bulk order direct to your recipient's address.
Sending via two campaigns for the same recipient is possible but results in two shipments.