Yes, but in the opposite hemispheres, waxing and waning moons look opposite one another.
Ie, the crescent Moon appearing thus:
is waning in the northern hemisphere, but waxing in the southern's.
Still, when it is Full, it is full, when first quarter, then it is first quater, etc, no matter where on Earth we may be located.
Using the above example, when a northern hemisphere sub-tropical dweller sees this:
I will see this:
In each case, a waxing Moon.
Hope this helps