I'm not sure which you mean. Is it something like
cmp_deeply($array, doesnt_contain([1, 3, 5])
? If so then no it's not provided.
You can write custom comparators easily enough. Have a look at lib/Test/Deep/Boolean.pm for a simple example.
If on the other hand you mean something like
cmp_deeply($thing, not_any_of($thing1, $thing2, $thing3))
then it's also not provided but could be done easily enough if there was an Not() comparator:
cmp_deeply($thing, Not(any($thing1, $thing2, $thing3)))
sadly there is no Not comparator. You could write one easily, if you do, let me know and I'll ship it built-in as it's a generally useful thing to have.