Using Merit Scholarship as Leverage for FA

Say someone got a full ride to Duke or Vanderbilt, or a school of that caliber. They qualify for FA at all schools. They got into a school like Dartmouth, which is their #1, and got FA. Could they increase the amount of FA by mentioning the full ride?

Just curious.

No. Dartmouth only offers FA so they are not going to consider merit aid offers from other schools.