No. Most laptops (even netbooks) require at least 40 Watts of power, and this kit outputs 10W by default, and *maybe* up to 24W with some hacking. I would like an affordable and practical solar kit that can charge laptops, but this isn't it.
On the other hand, if this project succeeds and I can sell enough of this kit, I may then be able to take the profits to develop a kit for laptops. So, if you're interested in a laptop charger, supporting this project may help make that become reality.