You can, although it depends on the particular tuxedo and the look you’re creating.
Traditional black tie may incorporate a low-cut formal waistcoat or cummerbund, while many contemporary wedding tuxedos are worn simply with the jacket and trousers.
A three-piece tuxedo can also work beautifully for weddings and gives the groom another layer of formality.
A waistcoat has another advantage: when the jacket eventually comes off, the groom can still look smart and distinctive.