I severely pruned several citrus trees to relocate them. The remaining foliage bloomed just fine, at the same age as my others. I doubt you'd retard blooming by trimming where you need to. However, as Millet indicated, less young growth means fewer flowers.
The most amazing thing I've come to appreciate about citrus blooming is that drought stress, and even physical damage, appears to promote flowering. It's actually the re-hydration after drought stress that induces blooming. It is almost as if the plant focuses on reproduction when its life is threatened. I'm not recommending your threaten your citrus into blooming
because its harmful to overall growth, but holding off with the water until some leaves start to curl does seem to induce blooming. Some citrus growers control watering to achieve off-season fruiting.