It's not directly possible. However, this is:

my %handler_for = (
    type1 => 'sub1',
    type2 => 'sub2',
);

my $handler = $handler_for{ $type };

$self->$handler( $var );
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Depending on the scope of your problem you should derive a class for each handler, though, and let the method dispatch take care of this.

Makeshifts last the longest.