The fighting style, “Two Weapon Fighting”, allows adding STR to the off-hand, but barbarians do not get this fighting style. You may only attack once with the off-hand.

You can learn multiple Fighting Styles (either via multi-classing or the Champion archetype), and they will all take effect as appropriate, but you cannot learn the same Fighting Style twice. There is no rules-supported method for changing a Fighting Style you’ve already selected and learned.

There’s no mention of acquiring a fighting style. Modifying the feat to include one would be introducing homebrew to your game. No other official feats currently allow a PC to learn a fighting style, either.

The answer by @Wizo is correct, as is your own question’s assessment of your question–as per 5e RAW you cannot gain a new fighting style through any means except multiclassing.

Note that for damage, Proficiency was explicitly not added. Proficiency is generally not added to damage rolls unless some feature expressly says it should.

Paladin and Ranger each get a fighting style that can make them more primarily reliant on their respective spellcasting abilities. Blessed Warrior grants a Paladin two cantrips from the Cleric spell list, while Druidic Warrior grants a Ranger two cantrips from the Druid spell list.

When you engage in two-weapon fighting, you can add your ability modifier to the damage of the second attack. Your unarmed strikes can deal bludgeoning damage equal to 1d6 + your Strength modifier.

2 Answers. Yes, if multiclassing is allowed. You can take 2 levels of Paladin to gain an additional fighting style, and/or 2 levels of Ranger to gain another.

Different Styles of Martial Arts

• Karate. Karate is probably one of the most popular martial art styles.
• Taekwondo. People all over the world are becoming increasingly aware of the importance of physical exercise in their daily routine.
• Krav Maga.
• Aikido.
• JiuJitsu.
• Kickboxing.

The Five Best Martial Art Styles for Home Defense

1. #1 BJJ for Self Defense. Brazilian Jiu-Jitsu, or BJJ, is great for self-defense because size doesn’t matter.
2. #2 Muay Thai.
3. #3 Filipino Martial Arts.
4. #4 Krav Maga.
5. #5 for Self Defense MMA.

The 10 Deadliest Martial Arts Ever Created

• Brazilian Jiu Jitsu.
• Eskrima.
• Bacom.
• Vale Tudo.
• Ninjutsu.
• Rough and Tumble.
• LINE.
• Krav Maga. First developed for the Israeli Defence Force, Krav Maga is the world’s most effective and dangerous form of combat and is known as a non-sport form of martial arts.