There is nothing prohibiting you from doing so, nor would I categorize it as "the wrong thing to do."
Of course, you want to show as much breadth and depth of experience as possible in your application (according to me

that will make it easier for PMI to see your qualifications).
In any case, many projects bear great similarity to one another from a PM perspective (home building being one example that springs to mind). Even within software development, where I have spent over 3 decades, one application development project is much like another in terms of laying out the project. In my experience most differences and challenges arise in the pesky details where PMs spend so much of their time communicating and resolving issues.
And, if a project manager does well on a project, there is great likelihood he'll be asked repeatedly to do the same thing or something similar many times over.
Best of luck!
Tracy