At our volumes, no. Even a massive overpitch should not cause off-flavors per-se. Though lets say you pitch a huge barelywine or wee heavy on an entire cake, you could end up blowing past your target FG, which for styles like BW or Wee-Heavies the residual sweetness and body are a big part of the style... Though you shouldn't end up with yeast off flavors. You would end up with stylistic off-flavors.
Though pitching a massive amount of yeast can cause temperature control issues. I pitched two 1.75 liter starters of yeast (wanted to pitch two different yeasts) and the beer took off so quickly and violently the temp went from 67 to 90 in 6 hours (granted one of the yeasts was a saison so it wasnt a huge concern). Huge temperature swings *will* cause off flavors (swings, not necessarily high temps).