Não
You apply your character's Constitution modifier to:
- Each roll of a Hit Die (though a penalty can never drop a result below 1—that is, a character always gains at least 1 hit point each time he advances in level).
- Fortitude saving throws, for resisting poison, disease, and similar threats.
- d20PFSRD
Então você recebe um -2 no teste, mas o total não pode ir abaixo de 1.