No it will not outperform your GPU for rendering, that is already a specialized hardware
You can usually move data on and off chip very quickly also, since high end modern FPGAs have many hundreds of pins. Generally these get connected in to hard-logic like fiber networking or PCIe.
An FPGA soft core is never going to beat an ASIC if both were designed well. But they can beat general purpose ASICs (e.g. GPUs) for certain classes of problems, mostly those where you can exploit the massive memory bandwidth of the FPGA.
I think that for rendering computer graphics, you really just want a big fat pile of FPUs. FPGAs will usually have a number of hard logic DSP blocks on-die, but nowhere near as many as a GPU. If rendering 3D graphics is the problem you want to solve, you probably really want a GPU.