Is this the sort of thing you're after (uses rand and map). Note that it'll reuse values from the hash. Not every one is guaranteed to be re-input into the new hash:
use warnings;
use strict;
use Data::Dumper;
my %h = (
a => 1,
b => 2,
c => 3,
d => 4,
);
my @vals = values %h;
my %new = map {$_ => $vals[int(rand(@vals))]} keys %h;
print Dumper \%new;
Output:
$VAR1 = {
'c' => 2,
'a' => 4,
'd' => 3,
'b' => 1
};
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