Not at all. The A340 limit load factor is something like +2.5 / -1.0g. This is not a condition injurious to seated passengers. It is unrestrained passengers who are injured in turbulence -- but that is due to the passenger/cabin collision, not the initial acceleration. The wings in the video flex a long way under these relatively light load factors because the wings are designed to be only a little bit stronger than they need to be.

Aerobatic airplanes and pilots routinely experience transients to +/-6g with no ill effects.