Yes & yes. Could be xGraptosedum 'Ghosty' you have there. If it blooms yellow, probably is that.

Thanks! Should I pot it up after I cut the stems? Or would it be best to wait for it to callous over?

Andrew,
These will put out roots pretty much anywhere along the 'stem' so you can cut it off nearer the leaves to make less 'leggy' plants. BUT you can also get plants from the rest of the stem that you've cut off. Don't bury the stem remnants like you will the with the stem that has the leaves. Just lay the stems horizontally - or stick one end barely into some potting medium that doesn't stay wet -- but is only slightly damp-to-dry. If it's wet, the cuttings will rot.

Don't pot immediately after cutting the plant into the pieces you want to have root and grow. Yes, give the wounds a few days to dry. Have you ever used rooting hormone? I use one in powder form and it has an antifungal in it to help prevent rotting in the event we over-water the cuttings. You can buy it at Walmart or Lowes, or Home Depot for about $5. However, if you water way too much, the fungicide in the powder will not stop the rot.

Dip the cutting into the rooting hormone powder or sprinkle the powder on your cutting before you plant it. It doesn't take much so don't -- do not -- heavily coat the cutting w/ powder. If you get too much, just knock some off by gently tapping the cutting against a pot or something.
If none of the powder sticks to your cutting, then wet the cutting before adding the rooting powder.

Then all you need is patience and the self-control to stop yourself from watering the cuttings - even when they look dry. Some cuttings benefit from an occasional misting so the cutting itself receives some moisture but the part touching the soil does not. Again, do not overdo the misting.

Good luck. Post some follow up photos of your baby plants!

Thanks a lot @rosemariero and @ccclaxton! I'll try my best at propagation and keeping these guys healthy.

These are my pruned ghost plants.

And my little propagation station. Hope cutting the stem into workable pieces wasn't a mistake.

Now to let these dry over before potting.