Use the init_arg attribute configuration (see "Constructor parameters" in Moose::Manual::Attributes):

package SOD::KuuAnalyze::ProdId;
use Moose;

has 'users' => (
    isa => 'ArrayRef[Str]', is => "ro",
    init_arg => undef,    # do not allow in constructor
);
1;

package Foo {
  use Moo;
  has a => (is => "ro");
  has b => (is => "ro");
}

my $bar = Foo->new(a => 42);

# Print only 'a'
say $_ for keys %{ $bar }

# Print all attributes
say $_ for keys( %{
   'Moo'->_constructor_maker_for('Foo')->all_attribute_specs
});