Depends on the games, resolution and framerate it is intended to run the games. If you play CPU intensive games like Battlefield V at 1080p, the 4770k will slightly bottleneck the 2060 if you want the maximum FPS (for a 120-44Hz monitor), not too badly, but it will be noticeable. Overclocking it would reduce the bottleneck. If you play at 1440p, there will be no bottleneck at all.
You can anyways use in-game "resolution scale" setting or Nvidia's DSR to render the hame at higher resolutions than your monitor's and this way get a noticeable improvement in image quality.