lol. No. NoooooooOOOoooo. No. Absolutely not.
If you start doing somebody else’s job to take up the slack it becomes your job. Nobody thinks of it as you doing extra, and if it doesn’t get done you’ve become the de facto person in charge of the task and will be blamed.
You have to set boundaries. If your job relies on somebody else doing their job and it isn’t getting done you sit tight.