I am using HD Pro currently and creating construction docs at 24x36. The program does not come set with this size, but it can be created.
From your Layout, PRINT --> Customize sheet sizes... Then you can create an ARCH D at 24 x 36. Just send them to PDF (as the print destination), then you can save the file and get them to a large printer.
The thing to pay attention to is that once you link a Plan and its camera views to a Layout, you can't move files around or rename them. And it wants the files in the same folder. But it's a live link between your camera view and the Layout. So you can continue to make changes and they will be reflected in the Layout.
That may be a lot of detail for you if you have yet to interact with the program, but the short answer is, yes, you can use Home Designer Pro for large format plans.