Although I got a PhD in physics, I am now working as a statistician, so from my point of view it is certainly useful to know a statistics language like SAS or R.
Physicists often tend to rely more on homebrewn statistics programs, which has two reasons in my oppinion:
1. The kind of data require for a tailored application (think of particle collider data).
2. R is relatively little known in the physics community.
In principle you can program all kinds of data manipulation in R, including complex data analysis. So point 1 may not be an obstacle.
One big benefit of R is that people have contributed packages for quite specialized purposes which would be difficult to program whithout a strong statistics background.
On the other hand, it offers easy mechanisms for the analysis of simple data and their graphical representation which might be useful already during your studies.
So, yes, R may be very interesting to learn for a physicist.