Yes.
The antenna tuner hides the mismatch from the radio.
Actually tuning the antenna will make it radiate more efficiently.
Actually, if the antenna is resonant but has high SWR it won't make any difference. Resonance and SWR are two different things. An EFHW is resonant and radiates beautifully, but has a feedpoint impedance ~2,800 ohms.
It's pretty hard to get an acceptable match across 1.7 MHz of radio spectrum on 10 meters unless it's a low-Q antenna. I prefer to adjust an antenna for 10m to electrical resonance at the middle of your expected operating frequency range, then see what you got for SWR. If the SWR isn't right due to antenna design or the matching coil or transformer is off, and adjusting the feedline length can't "fix it", then use the tuner on it. Any "losses" at HF on 50 ohm coaxial cable is so low that it doesn't make a difference anyway.
Adjusting or "tuning" an antenna out of resonance to get a SWR match actually defeats the purpose of matching your antenna system to the radio output impedance.