Antenna Tuner all band vertical

Is it possible to use a vertical antenna with an antenna tuner to propagate on all amateur bands with reasonable results. I know impedance matching is important and the tuner will only match the transceiver with

the antenna so my feedline and antenna will be close to 50 ohms. But with the tuner will I be able to make the vertical work on all bands, VHF, UHF and HF?