The form type is one or the other, There is no option to have both types.
Actually, I take that back. If you want to go to the trouble.
Using Word (for example), create a document that has the same format as the Web form version. Create a PDF from that document.
In your Form designer, add a second Form to the merge form, and use the PDF that looks like the Web form.
Map your fields to it as you did with the first merge form.
Then when the document is stored it will store both the Merge form, and psuedo web form.
Senior Director Support Americas