Yes. Not getting into a bridge program does not close the normal MBB recruiting path.

Bridge programs are small and selective, while firms still hire advanced-degree candidates through their regular application process.

Many strong candidates never attend Insight, Bridge to BCG or similar programs and still receive interviews later.

Use a rejection as a signal to strengthen the application and preparation, not as a verdict on whether consulting is realistic. For more detail, see the PhD to consulting without business experience guide.

I would apply, but keep normal recruiting prep going in parallel.