>>Is there any chance a swarm caught at this time of year can make through the winter?
Depends on several things: 1. Drawn comb is used exclusively, 2. Feed, feed, and feed some more, 3. It was a large swarm ( a rarity this late in the season), and 4. weather conditions remain optimal.
If 1-3 are not met then the best thing to do is combine it with another hive.