Argon (in particly, $^{40}\text{Ar}$) in terrestrial planet atmospheres tends to come from the decay of Potassium-40 in rocks. Therefore, higher crustal concentrations of potassium would likely lead to higher amounts of argon. It's possible that a planet not subject to impacts early in its life would retain more lighter elements in its crust, like potassium, and therefore would produce more argon over the course of its life, leading to an atmosphere with a higher fraction of argon - particularly if it initially had more quite a bit more potassium than Earth. Tectonic activity might be a reasonable pathway to actually releasing this argon.
It's also worth noting that Argon is slightly heavier than oxygen and nitrogen. This means that a slightly lower escape velocity could lead to the planet losing more lighter gases while still retaining all of its argon. So pick a potassium-rich, relatively unscathed, tectonically-active, low-escape velocity planet!
On the note about plants using argon: As L.Dutch mentioned, argon is an inert gas, and as such does not easily undergo chemical reactions. Therefore, I'd be rather surprised if it played a key role in some modified photosynthetic process. On Earth, it doesn't seem like argon significantly inhibits metabolic processes provided that enough oxygen is present, but it's unlikely that it would actually be a key part of exotic reactions.