Using a verb twice to describe a chain of action

Is the following sentence grammatically correct:

Cats bother dogs bother ducks.

I want to say that cats bother dogs and, also, that dogs bother ducks. Is this a correct way to do so?

If it is, can this pattern be repeated indefinitely? E.g.

Noun1 Verb1 Noun2 Verb2 Noun3 Verb3...

Which means that “Noun1 Verb1 Noun2” and “Noun2 Verb2 Noun3” and “Noun3 Verb3 Noun4” and so on...


Solution 1:

This is not standard syntax. However, it may work in a playful context, such as a poem or an aphorism.