Yes, coconut fat and coconut oil are the same thing.
Essentially, "coconut fat" is just another term for coconut oil, particularly when it's in its solid state. Coconut oil has a relatively high melting point, around 25°C (77°F). Therefore, at room temperature in many climates, it exists as a white, solid fat. When the temperature rises above its melting point, it transforms into a clear, thin liquid oil.
- Solid State: Below approximately 25°C (77°F), it appears as a solid white fat.
- Liquid State: Above this temperature, it becomes a clear oil.
The term used often depends on the context or the temperature at which it's being discussed. But chemically and structurally, they are identical.