If I'm not mistaken, they'd have to redesign the Hurricane's wing in order to have the ability to fold.
The early Hurricanes may have been able to overcome the weight penalty of the reinforced wing and hinging assembly, but the real question is how long would that take to transition from proof of concept to production?
Of course they would. Supermarine did the same with the Spitfire. The initial diagrams for the pre-war "Sea Spitfire" as opposed to the later Seafire had the wing fold and lie flat against the fuselage like the Grumman method of wing fold, but of course the actual Seafire wing fold was simpler. I'm sure Hawker could have gotten it to work in a reasonable timeframe, one way or another. The Sea Hurricane as it appeared was only intended as an expediency measure until the Firebrand was ready, which was promised in 1942, so changes to the basic airframe were minimal. It's well known and discussions on the subject can be found on this forum what impact that had on the type in service as a carrier aircraft.
This is of course all hypothetical, which I'll reinforce again, is what the thread is about since at the time the admirals who favoured a Hurricane naval fighter in the mid-1930s were constrained by the fact that the Air Ministry was in charge of aircraft procurement and the Skua was already in production but not in service. By that time of course, the Fulmar specification was being drawn up, which cemented the FAA's lack of a suitable single-seater at the outbreak of the war, which is why Admiral (the forum one) suggested that Fairey build Sea Spitfires, as Fairey was asked to do so by admiralty representatives, but he refused, then I made the suggestion that navalised Hurricanes could be introduced, and to stop Blackburn from designing the Firebrand, which is probably the big takeaway from my post - gotta stop Blackburn wasting taxpayer monies on dead-end designs!