The full answer
Not necessarily.
Vegan labeling removes animal ingredients, which simplifies many Halal questions, but it does not automatically exclude alcohol or every other impermissible ingredient.
A vegan logo is useful information, but it is not a Halal certification.
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.