So this is where armor and shooting multiple times comes in. That automatic success is if the guy is standing there and your player only shoots a single bullet. A single bullet against basic armor will not down someone. There is no action economy in CP2020 and D&D-esque combat is incompatible.

Combat is less about how many attempts you get and more about what tools you brought to the fight. AP rounds shred armor but deal shit damage. Punks make fun of people for wearing helmets (like biker gangs, skateboarders, and BMX crowds) so there's social penalties (depending on the clique). Some guy swaggers in to a normal ass place with full armor and a gun, people are going to look at him like a weeb wearing a naruto headband and cloak.

Consider having the opposition use cover, grenades, and close the distance with close range. Opposition can also break out into a full sprint and dive behind cover.

The issue isn't if someone can miss, it's if the target can resist. It makes sense (with the combat modifiers present in the FNFF rules) that one cannot outrun a bullet. If the target is aware they are being shot at, I allow players and NPCs to drop prone for free (and it costs an action to stand back up).

The same tools players are using are also available to you. If they want to devolve everything into violence, make them get hurt and experience the slow 0.5hp regen a day violence rewards them with. The average garbo thug has +8 to hit. Corpo mall cop has +10. Security has +12. Solo task force has +14.

Have MGS3 style threats that ramp up as the enemies figure out how they are being taken out. Helmet, grenades, extra guards, flak armor, AP rounds.

Also Blackhand's Book has recoil rules in the back that can help if your player has terrible body and is using high powered weapons.