Not sure about LA, but in VA, the answer is no. A caught swarm has no comb and no resources. They need every girl on deck to get set up for winter and will often need to be fed. Flow timing is also a factor. If your flow continues through the summer, you may not have to feed as much. Ours ends in June, so a May swarm will not have enough time to get ready otherwise. Best plan is to feed like crazy so they get comb drawn and make sure they are heavy going into winter. Then you will get honey out of them the second year.
I am assuming a normal sized swarm. A >5# swarm may very well.produce enough to get a bit. All my swarms have been in the 2-3# range.
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