Depends what do you mean by "correct". Yes, it is a fair representation of IE languages.
But otherwise there are few things one would question or argue against:
- one perennial dilemma - what is the difference between dialect and language? One could also wonder why so many Germanic varieties are pictured but no Greek ones.
- this graphic representation seems to list the languages somehow geographically, though not in a very consistent way. However, their relation with their common origin is debateable. Also, I'm not sure what that 5,000 BC is supposed to mean.