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Nope. This needs to be fully supported over its entire depth or the monitor will break away from the keyboard. If you bought a lap desk which was at least 13" deep it would work, I'll post an example but there are dozens and dozens of them on Amazon. Heck, you could even use a thin board of 13x13". Whatever you were to use you would want to add a lip of some kind which would prevent the tablets stand from slipping off the back edge which would cause it to separate from the keyboard and go tumbling.... It happened to me and cracked my screen... $329 to get it fixed.
At 13.5" front to back this would work and like I said there are loads of them for all kinds of prices on Amazon.
yah there's a bunch in different sizes/features/etc, here's one that looks like it's flat, plenty more on amazon too, just search 'lap desk'