It's theoretically possible, but "it's stupid to use a variable as a variable name".

Usually, a hash serves well in these situations:

use warnings;
use strict;

my $counter = 0;
my %hash;
while (<>) {
  $counter++;
  $hash{"bin_$counter"} = $_; # or whatever
}

use Data::Dumper;
print Dumper(\%hash);
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