Yes, you can. For example, if your opponent activates an "if your opponent has as many or more total Digimon and Tamers as you, delete 1 of your opponent's highest level Digimon. Then, delete 1 of your opponent’s lowest level Digimon" effect, you can activate this card's "when [...] would be deleted" effect for the 1st deletion, then you can activate this card's "when [...] would be deleted" effect for the 2nd deletion that was activated by your opponent.