Your Edited .mat file does not exist, so you must create it. Check to see if it exists, if it does, append. If it does not, create it.
clear all
close all
d = uigetdir();
filePattern = fullfile(d, '*.mat');
file = dir(filePattern);
for k = 1: numel(file)
outputFullFileName = fullfile(file(k).folder,sprintf('Edited_%s', file(k).name));
if exist(outputFullFileName,'file')
save(outputFullFileName,'Variable_1','-append');
else
save(outputFullFileName,'Variable_1');
end
end