The answer to this is definitely not.
Members of Congress are not obliged to consider their constituents wishes in any way, shape or form. They are free to vote in any way they please.
The founders of the US did not want a direct democracy. They wanted a republic in which legislators used their presumably superior wisdom and knowledge to enact laws that were best for the people, even if the people did not agree with those laws. Therefore, they did not require legislators to consult with their constituents on particular pieces of legislation.
Of course, if legislators go against their constituents' wishes too often, they are liable to lose their next election. So in that sense they have to think about what their constituents want. But they are under no legal obligation to determine what the constituents want on a given bill and vote accordingly.