Yes, if you connect the switch to the high beams, you can only energize the relay trigger when the high beams are on.
You can get a Littlefuse mini-blade add-a-circuit and tap the lighter socket fuse that comes on with the ignition as a power source for your driving light switch. That fuse is located in the fuse panel on the passenger side dash. That way the lights would go off with the ignition even if you forgot and left the switch on. Also, you would just need to run one small gauge wire through the firewall for the relay trigger.
The relay would be located under the hood near the battery, connected to the + battery terminal via an inline fuse. The switch would be just switching the relay trigger, which is less than 1 amp.
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