I was thinking of writing a story in which Zeus has a child with a woman in a modern/futuristic setting. The child gets super strength and flight due to his heritage (strength because that seems to be what all the sons of Zeus get, and flight because Zeus is god of the skies). The kid wonders why he doesn't get lightning powers and is reminded that lightning bolts aren't Zeus's power, they're just weapons.

My question comes when he meets another demigod; the son of Hermes. I was thinking of making him a speedster, but wasn't sure if Hermes actually had speed or if that's just his boots. Would it plausible for a son of Hermes to have speed, since a son of Zeus didn't get lightning?