To answer your question directly, your action is your turn.
In the Basic Rules, it says:
On your turn, you can move a distance up to your speed and take one action. You decide whether to move first or take your action first. Your speed--sometimes called your walking speed--is noted on your character sheet.
The most common actions you can take are described in the Actions in Combat section. Many class features and other abilities provide additional options for your action.
The list of Actions in Combat: Attack, Cast a spell, Dash, Disengage, Dodge, Help, Hide, Ready, Search, and Use an object. None of which allow you to react to a trigger.
It does mention class features and abilities can give a character more choices, but for that, you would need to find something specific to a class.
There is already a term for doing something on a triggered event; it's called a reaction.
Certain special abilities, spells, and situations allow you to take a special action called a reaction. A reaction is an instant response to a trigger of some kind, which can occur on your turn or on someone else's. The opportunity attack, described later in this section, is the most common type of reaction.
When you take a reaction, you can't take another one until the start of your next turn. If the reaction interrupts another creature's turn, that creature can continue its turn right after the reaction.
Let's take that apart:
A reaction is an instant response to a trigger of some kind, which can occur on your turn or on someone else's.
Reactions are based on triggers; Actions are not. Actions are based on the player's choices.
Certain special abilities, spells, and situations allow you to take a special action called a reaction.
Reactions only happen due to special abilities, spells, and situation. Actions are allowed to happen (minus those times something takes them away) every single turn; while a character is in combat and outsideIt also does not appear on the list of combat too.
So a character cannot takepossibilities of an Action as a Reaction. They are two separate things.