EVA suits are specially designed spacecrafts for astronauts during spacewalks. I can say for sure, it can handle the following cases of pressurization of the system:
Pressurized inside, but vacuum outside - This is the usual purpose of the suit during spacewalks.
Pressurized inside as well as outside - This case is observed when astronauts train in the Neutral Buoyancy Lab (NBL).
Vacuum inside as well as outside - Doesn't make any difference as there is no net pressure. So there is no stress on the system.
Even though this lacks any practical application, can an EVA suit handle the stresses of vacuum inside but pressurized outside, unlike the usual opposite (pressurized inside but vacuum outside)? Or in other words, can we create a vacuum inside an EVA suit (by pumping out gas from the suit) when the outside is pressurized or will it implode (explode inwards)?