Not directly but you can use a pipe:
Note: original answer updated based on comments
Linux:
git status -s | while read mode file; do echo $mode $file $(stat -c %y $file); done
Windows:
git status -s | while read mode file; do echo $mode $(date --reference=$file +"%Y-%m-%d %H:%M:%S") $file; done
OSX (source):
git status -s | while read mode file; do echo $mode $(stat -f "%Sm" $file) $file; done|sort
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