In any system, components revolve around center of mass of the system. In our solar system, Sun has 99.9% mass of the system. So, center of mass of system is inside the Sun (nearly coinciding with center of Sun).
Seeing the massive and big stars in the existence, yes, it's possible that a Sun type star can truly revolve around R136a1 type stars. R136a1 stars are 265 times solar mass. In a binary system with Sun, it'd contain 99.6% mass of the system. So, center of mass of the system would exist near its own center (so, size of star doesn't matter here).