NO. You have the absolute right to refuse a search of you, your belongings, your home, or your car. A good officer will ask you for permission to search you, your home, or your car even if the officer has the legal authority to conduct the search. The question whether the officer has valid authority to search is an issue that can be raised via a motion to suppress in court. If the officer is able to obtain your voluntary consent then the issue whether the officer had valid authority is no longer the basis of a motion to suppress. Your voluntary consent is valid authority. You must raise your objection to the search out loud - say it - do not just nod your head no. Make it clear, “I am not giving you consent to search.” If the officer searches anyway do not interfere or become physical. Allow the issue to be raised in court but do document everything that happened as soon as you can. The fact the officer is asking for your consent to search reflects that the officer anticipates finding evidence of criminal activity. The officer wants your consent to justify the search. Your consent permits the evidence that is found to be used against you at trial. You have rights and you need to use them.