Is there a feat that gives you an extra attack?

Direct Answer

No, there is no individual feat that gives you an extra attack, assuming you are referring to an extra attack beyond those granted by your class features. Any additional attacks granted by abilities or spells would need to be specified in the relevant ability, feature, or spell description.

What extra attacks are available?

There are, however, many class features, abilities, and features gained through leveling up or selecting certain options during character creation that allow you to make multiple attacks in a single turn. These are presented below:

Are there Any Other Options?

For those who do not have access to features like Extra Attack or Action Surge, there are other ways to make extra attacks:

• Multiattack Option: Some classes, such as sorcerers, allow you to pick a multiattack option that allows additional attacks.
• Spellcasting Abilities: If you have access to spells that don’t require an action, you can maintain concentration and make additional spell castings.
• Features Gained Through Leveling Up: Class features gained through leveling up can also result in additional attacks, such as the above-mentioned abilities from Battlesmith and Bladesinger classes.
• Feats Gained by Eldritch Knights: Some pathfinder feats grant additional spells or abilities that allow for greater flexibility in your attack options, enabling you to make additional attacks.

Some Important Points

• Cantrips: A cantrip is a special kind of spellcasting ability that allows you to cast a variety of spells without requiring an action on your turn. Many cantrips work in conjunction with the Extra Attack feature, allowing you to cast additional spells at will.
• Automatic Extra Attacking: Some abilities, like Boots of Speed or other footwear, grant you automatic bonus attacks. These do not count toward your normal attack limit.

Conclusion

In conclusion, there is no individual "feat" that grants an additional attack. However, there are various class features and abilities that allow for multiple attacks in a single turn. If you’re new to the world of Dungeons & Dragons (5th edition), I recommend using the official Player’s Handbook and errata to get started with the gameplay mechanics.