Would it be feasible to transplant my plant from s...

Can it be done? Yes. Should it be done? If it is an emergency, sure. If I was going to do it I would think about if it is worth the effort and risk. You may damage or kill the plant, might be easier to take some clones and run them.. If you decide to push forward the way I would likely chose would be to let it dry out a good bit, I would then remove the pot and dunk the root ball/ soil into a large bucket or tote of water to wash as much dirt off the roots as I can, probably have a few goes at that dunking shaking roots and swapping out water a couple times to clean off the roots a bit. I would then take the net pot and put it under the water lower the root mass into it and try to scoop and lift the roots and plant up with it hoping the water going through the pot helps the roots fall through.. dunno, never tried it. Good luck.