Can I cut witch hazel to the ground and expect it to come back?

I'm dealing with a plant that has gotten a bit leggy under the influence of
about a million pounds of wisteria (which I have now sent to meet its
maker). The branches come straight from the base, are about 1+ inches thick
and 8'-10' long. The plant is vase shaped. It will be getting more sun now
as well though not tons as it is in an NYC brownstone yard.

Can it be cut to the ground so that it will grow back a little thicker or
will it do this on its own? Or should it be leggy? I confess I've never
seen one this big up close.

Thanks,

Michael