Is 31/32 too late for an MBA?

Turning 25 today and I am thinking about my career path. I am currently doing a PhD and will probably finish at the age of 27/28. Assuming things go well I will go to those big Pharma/science firm rotational programme for 3 years. I will then apply and start B-School at the age of 31/32. Is it too late at that point? Will it negatively impact my application? I already have 2.5 years of science (Big Pharma/Biotech Startup/Research organisation) experience though. If it is not a possible path please do let me know. I will think again about my future career.

Any career advice is also appreciated.