Towards the end of Shoftim, there's a parsha that begins כי תצא למלחמה על אויביך, but it's not the correct beginning of Ki Teitzei. If the oleh makes the bracha having in mind the wrong כי תצא, he has to make the bracha again (Tikkun Simanim and I've seen this happen, though not this week).
Why can't you just start reading from there and have a slightly longer rishon? Then it won't have been a bracha levatala.
A similar precedent: there are sometimes minyanim for Mincha on Shabbos the last day of Pesach or Shavuos that read the entire parsha to let people traveling to Israel catch up.