My neighbor used to chop her spineless yucca back all the time and stick the cuttings back in the ground where they took root. I planted cuttings in pots once and had 100% success ... gave bunches to another neighbor who planted them as a screen between her house and her next door neighbors house. Her neighbors property looked like a junk yard and they couldn't convince them to keep it clean so they finally decided to screen the ugly view and it worked.
Those offsets (suckers) along the trunk of your plant can definitely be removed and potted up. The one at the top appears a bit small yet but I think the lower one would root easily; cut it as close to the mother plant as possible; plant it in a well draining potting medium and water sparingly. Yucca's are quite drought tolerant.
