No. It just reduces the cost of the card to 0. Note that in general, costs can’t be reduced to less than 0.

Such effects prevent your opponent from playing XX by effects. With this card's effect, your opponent can no longer play Digimon by effects such as BT10-018 [Gaossmon]'s [On Deletion] effect or BT16-048 [TyrantKabuterimon]'s [When Digivolving] effect. This effect affects the opponent player.