You can actually construct this using regular VP ellipsis (or possibly Right Node Raising?) in English, but it sounds weird and doesn’t convey the same meaning. So I don’t think so.

“I’ll try to ___ and see if I can go to the store tomorrow”. [where ___ is the VP ‘go to the store’]

Then you have the various syntactic facts mentioned in the article , such as the possibility of wh-extraction. This isn’t possible in an analogous ellipsis construction:

“What did you try and eat?”

* ”What did you try to and see if you can eat?”

There’s also an interesting tense restriction which suggests that there’s no independent elided clause:

*”I tried and go/went to the store yesterday.”

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cwmoore 6 days ago | parent [-]

"What did you try but spit out?"

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foldr 6 days ago | parent [-]

That’s a regular case of across-the-board extraction from a coordination (where ‘try’ has a nominal direct object rather than a clausal complement):

What did you try ___ but spit ___ out?

The examples in the linked article involve extraction from just one coordinand, which is impossible in “real” coordinate structures.

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cwmoore 6 days ago | parent [-]

Your examples are not ringing bells for me as a native speaker. The linguistics terms may or may not be confounding, but are too unfamiliar for me to discuss.

“Try, and [if successful] [do the thing].”

	▲	foldr 6 days ago \| parent [-]
		Sorry, I don't understand what you are getting at. What is the significance of the quoted sentence?