No, the size of the accretion disk depends on the mass of the black hole but it not that large compared to stellar orbits. The disk well defined inner radius o

No, the size of the accretion disk depends on the mass of the black hole but it not that large compared to stellar orbits. The disk well defined inner radius of 3rg (Schwarzschild radius), the outer radius is blurred, but usually even in super massive black-holes does not extend all that much beyond 0.1ly. A star rarely orbits another star (black-holes) that close in a stable orbit. For normal blackholes the disk it is going to very small.