A used EV can work without home charging, but I would want the charging routine figured out before buying it. An attractive asking price does not make a charger convenient. You will live with the location, availability and cost of charging long after the excitement of finding the car wears off.
There is a substantial difference between plugging in at work while you are already there and making a special trip every time the battery needs attention. Both can work. The second arrangement needs a more honest look at your schedule, especially if the car is your household's only transportation.
The Department of Energy describes public and workplace charging as available parts of the charging network. It also explains why charging time depends on the vehicle, battery and equipment. A station described as fast does not promise a particular stop length for every used EV parked beside it.
Try the routine you would actually use
Identify the main charging location and a workable backup. Visit at the time you expect to charge. Look at access hours, parking rules, how payment works and whether you could comfortably spend the required time there. If you are counting on workplace charging, establish who may use it and whether spaces are available when your shift begins.
Check the exact car against the station's equipment and the charging network's current compatibility information. Have the seller demonstrate charging with an arrangement you can use. Do not buy an adapter on the assumption that physical fit alone settles compatibility.
Then look beyond an ideal week. What happens when you work from home, stay late, or find your usual location unavailable? The backup needs to be a place you would realistically drive to. A large number of pins on a map offers little comfort if none fits the week you actually have.
An apartment resident with reliable workplace charging and a nearby alternative may have a perfectly workable plan. Someone who would have to reorganize dinner and childcare around every charging stop has a different decision. That is a question about the household's routine, not enthusiasm for electric cars.