Yes. At checkout, enter your details in the billing section and the recipient's details in the shipping section.
The parcel goes to the shipping address, and the order confirmation and tracking emails come to you, so you can follow the delivery while the recipient gets the box.
If you are still deciding what to send, The Perfect STEM Gift of Choice — Frequently Asked Questions goes through the range by age, interest and experience. As a rough guide, the Wacky Robots are recommended from age 7 and the more involved kits such as ByteBoi from age 9 and the Mars Rover from age 11; each product page lists its own recommended age.