Yes, satellites (moons) can have an effect on the orbit of a planet around the Sun, but the influence is relatively small. The gravitational interaction between a planet and its moon(s) can cause slight changes in the planet's orbit, although these effects are more pronounced in systems with multiple massive moons like Jupiter and Saturn.
If we were to add a moon to Venus, it would indeed have an impact on Venus' orbit around the Sun, but the effect on Venus' year (orbital period) would be negligible. Venus's year is primarily determined by its distance from the Sun and its initial orbital velocity. The gravitational influence of an additional moon, unless it is extremely massive, would not significantly alter the length of Venus' year.
In our solar system, the most prominent example of a moon affecting a planet's orbit is the Moon's influence on Earth. The Moon causes small variations in Earth's orbit and rotation, leading to phenomena such as tides. However, these effects do not significantly alter Earth's orbital period around the Sun.
It's important to note that the interactions between moons and planets can be complex, and over extremely long time scales, they can cause orbital resonances and other effects that may influence the stability of a planetary system. However, for most cases, the presence of moons has a minimal impact on a planet's orbital period around the Sun.