For LEDs, sure, yellowish or amberish is completely possible, and has been done.
But for lasers, you run into a HUGE set of problems. Green isn't quite there yet, and I doubt there will ever be a big commercial need for yellow, so I doubt the investment will ever be made to make yellow happen. As far as technological problems, for one thing, when you're putting that much indium into the InGaN, it becomes a big problem just to keep it in one homogeneous phase, especially once you start growing the p-type GaN on top of it. To get good p-GaN, (at least with MOCVD, which is what is generally used) you have to raise the temperature back up higher, and the InGaN has trouble witht he higher temperatures. It sometimes would rather phase segregate than stay in one uniform phase.
And of extreme importance to lasers and less importance to LEDs, as you increase the the amount of indium in the active region, you also change the index of refraction of the material. Since the index of refraction is what creates the cavity and the guiding of the light, changing the index of refraction can have MAJOR effects on how the cavity behaves.
The more indium you put in, the more you have to change the other materials as well. You have to push the other materials in the diode stack further without them cracking or phase segregating or what have you, you have to make all kinds of changes. The entire structure of the laser diode has to change, and as of yet, no one has made it work.
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AlInGaP for green? I haven't seen that at all, maybe you could point to a reference? Everything I've seen is focused on the nitrides, InGaN, for making green laser diodes.