Yes, one character dies in the TV show Boots (2025): Eduardo Ochoa.

Ochoa's death occurs in Episode 5 ("Bullseye") and is fully revealed in Episode 6. He is a devoted Marine and a skilled marksman who struggles with conflicting feelings about killing and personal issues. Ochoa experiences chest pains but ignores them, not seeking medical help. After earning a phone call home due to his sharpshooting skills, he learns that his wife Gloria is cheating on him, which devastates him emotionally. This heartbreak, combined with intense physical and emotional stress during brutal training drills led by his drill sergeant Howitt, pushes Ochoa to a breaking point. He collapses during training, and despite attempts at CPR, he dies from an undiagnosed heart condition he had hidden from the Corps. His death marks a sobering tonal shift in the series.

No other character deaths are explicitly mentioned in the available information about the show.