You can create a Text Style and apply it to every link manually. There is no such special thing as “hyperlink style” in Figma.
Yikes. This seems like a basic thing to set up when defining a theme within a design system (the styling of text hyperlinks).
I wonder why this exception exists. Having to manually apply a style for every text link in a design doesn’t make much sense, especially when Figma has its Styles capability. 🤔
Possibly part of the reason this does not exist is that it is a bit more complex than it first appears.
Hyper links have multiple states (default, active, focused, hover, visited). Those states can have different combinations of text styles and colors.
So really there is not one “link style.” Maybe better to think of it as an in-line (text) component or something (I’m new to Figma, so I’m not sure about this).