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.”