Is it possible to name both a corporate trustee such as a bank and also an individual from the company in a qualified plan?

While it is possible to have co-trustees, bank trust departments probably won't go along with it. Our bank won't do it.

A trustee is a title holder, so you would not need an individual if you had an institution. The fiduciary functions are another matter. It is common to have an institution as a "directed" trustee and have an individual or committee as the discretionary fiduciary.

The short answer is yes, you can appoint both a corporate trustee and an individual trustee. This is usually done usually when the plan holds a certain type of asset which a corporate trustee will not agree to hold, so the individual trustee is "responsible" for that specific asset while the corporate trustee is responsible for the rest of the plan's assets.

But as ljr said, the corporate trustee has to agree to it and of course the plan/trust documents have to allow for it.