Cars and electric bikes are banned, but horse drawn carriages are still present.
The island itself is somewhat bicycle friendly if you can manage hills, but other than the touristy downtown, all the housing is spread out and definitely not what anyone would think of as walkable, especially in winter months.
For context the island is 3*4km. Assuming MAX distance (4km), it seems reasonable for most with a little adaptation time. perhaps a bit harder if it’s been decades someone lives under controlled AC and move every km with a car but a 4km walk is definitely achievable by most and is in the perfect walk range to become healthier. A muscular bike might help to ease the first trips.
Weather is only a matter of clothes. The cold might be disturbing at first but you get used to it, and a good coat keeps you safe. Plus: walking or biking keeps you warm.
The island itself is somewhat bicycle friendly if you can manage hills, but other than the touristy downtown, all the housing is spread out and definitely not what anyone would think of as walkable, especially in winter months.