Can 1,2-dioxetanedione (active ingredient in glow sticks) undergo stimulated emission (and thus form a laser)?
The activated complex 1,2-dioxetanedione can't undergo simulated emissions as it isn't the emitting molecule even in glow-sticks: it is the source of the activation energy for other dyes.

But most emitting dyes can be used in suitably configured lasers by providing energy as photons (=light) of a higher energy and a suitable wavelength in a suitable device. Whether they would make good lasers depends on a whole bunch of other factors (like how easy it is for them to absorb light, whether the subsequent transitions are forbidden or not (can't easily get population inversion if they are not) and various quantum efficiencies of the relevant conversions in the dye molecule.)

Dye lasers have been known since 1966. They have some advantages over more conventional lasers as they are often wavelength tunable (as dyes tend to have broad emission lines) and can often achieve very short pulses. Rhodamine 6G is a common laser dye but the dyes in a glow-stick may not be as good in lasers, though, in principle, there is no reason why not.