Can a IIM-A, B, C profile get into Google as a product manager or?
Google did come for campus placements in B, and was offering Marketing roles. However I know of people who have joined google as a manager after 12 years of post MBA experience. Google, being a tech company, would not have much use of general MBA students. If you are interested, yes, you can carve out a role with something like analytics, data science etc (these courses are taught in IIMs)