Not really. Counter play is the ability to use your skills and reflexes to avoid enemy damage and CC, but targeted abilities (excluding tethers and Caitlyn's R) and instant cast abilities (like Annie's R) do not offer it.
Q is instant cast
W would be fine if it were not for...
E, since he can dash directly to you, stun you, use Q, and dash out for unstoppable harass. He can also dash again through you to all in.
R grants him health, fury generation, and some bonus AoE damage. The health bonus and generation can not be stopped, and the damage, while minimal, is kind of hard to avoid when he has a stun and a dash (or two).
He is weak in the late game of course, but that does not mean he has counter play.