No. Although your broker's consolidated 1099 tax statement template may include a 1099-DIV, 1099-INT, or other 1099 form in addition to the "usual" 1099-B, don't enter any form that contains only zeros. Blank 1099s aren't reported to the IRS, despite what your statement may lead you to believe, and will generate errors when you try to file.
Similarly, don't enter 0.00 in TurboTax to match zero-dollar boxes on your 1099. Just leave those boxes blank when entering your 1099, unless the program specifically instructs you to enter something (this is uncommon).