The full answer
Not necessarily.
“Hand-cut” only describes how something was cut. It does not tell you who performed the slaughter, whether Bismillah was said, whether the animal was alive or whether the required Zabiha passages were severed.
Look for verified hand Zabiha, not marketing terminology alone.
Answers in the Halal Knowledge Center reflect the standards followed by Halal Monitoring Services (HMS), which operates as part of the Shariah Board of America. HMS certifies only what it checks.