Yes, the Curt T-Connector Vehicle Wiring Harness # C56288 does come with the necessary wire to run a hot lead to the battery of your 2014 Buick Verano, so you will not need anything else to install a 4-way.
I have added a link to a video review for you to check out as well of the Curt Wiring Harness # C56288.
I do recommend adding Dielectric Grease for Electrical Connectors # 11755 to help prevent any type of corrosion in your connector; using it will increase your 4-way's durability... view full answer...
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