Do you think young Handmaid was strong enough to knock Doc Scratch out, or Scratch would have easily stopped young Handmaid with his Green-sun powers?
Power-wise, not even close, Scratch could handle having the surface of his head stabbed by Magic Needles without even flinching, and could easily overpower her with his abilities.
Physically though? Maybe. He’s a squishy, 4′ tall Puppet. I bet she could shake him around a bit if she got past his First Guardian Powers somehow.