Nope, this comma is mainly misplaced and doesn't make sense at all.
However, it doesn't affect the code, since the parameters you're passing are passed in as a hash and a hash is basically nothing else than a list of key value pairs.
The fat-comma (hash-rocket in other languages) =>
can also be treated like a simple comma - it's mainly there for denoting such a key-value pair.
You can also write it:
GetOptions(
"display=s", \$display,
"input=s", \$input,
)
With your additional comma it becomes:
GetOptions(
"display=s", \$display,
"input=s", , \$input,
)
which doesn't change the list at all since two or more commas and/or rockets are simply treated by perl as one comma.
@a = (1, 2, 3, , , 6 => 7, 6);
print join(",", @a), "\n";
1,2,3,6,7,6
So: it doesn't harm, but since it leads to confusion, I recommend to remove it.