Hi Robin -- ummm ...I sort of handed you that answer by suggesting the source of the text might be a website. But, your suggestion did lead me to what is probably the best answer to my problem.
First, I now understand that the best way to state the question is: "Is there a way to paste more than a "page's worth" of text into a PDF Architect document?" The answer so far seems to be "No". Even if I create a blank document with enough blank pages to accommodate the full block of text coming from the clipboard the pasted text is placed in a single "text box", the bottom of which will extend past the bottom of the first page. The overflow text, that which does not fit on the first page, will not be transferred into a second text box on the second page ...and then onto a third, etc if there is sufficient text to require that.
The most practical solutions are in PDF Architect's "Create" menu. If I am able to save my "large block of text" as a .txt file I can import using "Create from Any File". Even more directly, I am able to use "Create from Clipboard". In both instances PDF Architect creates a multi-page PDF with the text being properly spread out, one "text box" per page.
Of course, even after creating a multi-page document in PDF Architect, if anything excess is pasted (or typed!) into a page causing overflow at the bottom of the page, the excess does smoothly flow into the text box on next page.