Huh? VL53L1x datasheet says it's just I2C, see section 4.2 - use the Wire library. There's probably an arduino library for it already. I'm pretty sure i've seen cheap breakout boards for these around, which implies others are using them with arduino. But even without a library, you could still use it directly with Wire.
API is "application programming interface" - it refers to any set of functions exposed by a library, such that you can incorporate those calls in your code (while leaving the implementation of those functions to the supplier of the API); it typically implies that the API is supplied by someone else (usually the manufacturer), and/or that multiple things use a compatible interface. It can mean anything from a REST interface for interacting with a web application to the functions of a library like we use in Arduino.