Kennen, Storm of Shuriken

No. Kennen's conquer ability must choose a spell already in your trash when the ability is finalized on the chain.^{[355.5][355.8]}

Kennen's ability and Minefield's ability trigger from the same conquer and are added to the chain as pending items.^[383.3.d] Regardless of their order, every pending item must be finalized before any item can begin resolving.^{[337.3][337.4]} Minefield therefore cannot put its two cards into your trash until after Kennen has chosen a spell, and that choice cannot later be changed.^[355.15]