With find:
find . -maxdepth 1 -type f -name aaa\*.png -exec cp {} destination \;
. indicates the current directory.
-maxdepth 1 tells it to only look in the current directory
type -f tells it to look for files
-name aaa\*.png indicates files beginning with aaa and ending in .png
-exec cp {} destination \; copies the files into the directory called destination.
My environment requires me to escape the * with a \. Yours may not require this so you may be able to just use -aaa*.png