I'm making a species of sapient human sized creatures that look and act like insects in many ways (except the majority of their entrails, because scaling up arthropods is probably even harder to achieve than making a functional dragon, but that isn't really the point here). However, while I've given them certain traits that would normally be present in vertebrates but not in arthropods, I don't want to give them vocal cords or a syrinx, yet I wished for them to have a complex sound-based system of communication (they need to be able to interact with other, more human-esque species of sapient beings, the majority of which has a biology and language system much like humans and isn't exactly fluent in "pheromone" or "signaling dance", meaning not being able to emulate a more human-like speech would leave my bug species at the literal mercy of competent translators and/or other communication methods that aren't necessarily as widespread or as practical to use).
As for the alternative means of sound production, earth insects have a series of ways of producing sound, from the simpler adaptations to the legs and wings of crickets to specialized organs like the male cicada's clicking tymbal (which was one of the original inspirations for my concept), and so I planned for them to have specialized structures in their bodies dedicated to producing a number of different tones and sounds that could be structured into something extremely similar to human speech, but I'm not sure if such a complicated concept could actually hold water in this case, especially since, unlike cases like Grey parrots, cases of insects whose vocalizations can sound like human speech is not exactly something that has ever happened in nature, as far as I'm aware.
With that said, my question is the following: within the bounds of our natural world, could an insect-like creature develop structures which are capable of satisfyingly imitating the vocal abilities of a human (as seen in animals like parrots and some corvids) via special changes to their exoskeleton or the development of specialized organs which don't rely on the respiratory system (like seen in cicadas) or am I stuck with having to rely on a larynx or syrinx?
This question is more centered around whether it is possible to achieve such a complex process of sound production to begin with rather than the necessary pressures to originate it. The atmosphere and the planet are both earth like, so soundwaves should work almost exactly like what you'd see on earth.