Yes. If they have a search warrant or, in certain instances, if exigent circumstances exist. If Vermont law enforcement possess a valid search warrant they can execute that search warrant at your home without your knowledge or consent.
A good summary of a recent challenge to the validity of a Vermont search warrant can be read here. If you want to read the full opinion by the Vermont Supreme Court it is located here.
If you return home and you believe a search warrant was executed at your home or office, contact an attorney right away. It is alarming to return home or arrive at work to find disarray and a copy of a warrant. We offer free consultations and strive to be available even usual business after hours.