When on a mission for the web that requires roughing it, Tyson doesn’t bother bringing a fishing rod with him.
He prefers to travel light and finds it more efficient to simply pack a few hooks, lure, and some line, then float on top of the water and coax the fish into his hands. Tyson will fish from the shore when necessary, but he does prefer to tether a hook with a length of line and hide the hook in his finger until the fish is close enough.
There are several reasons for this, but in the case of those particular missions, it gives Tyson time to empty his mind. If he’s sent out into the wilderness, it’s usually to hunt down an enemy of the web or an employee that’s trying to run away. It’s never something good. He enjoys the opportunity to not worry for a few minutes, to stop glancing around his surrounding and simply feel the water around him.