Can shots be rooted?

It's a Dracaena Marginata. You can root them from cuttings but I have never tried.

Thank you👍

Recently I have discovered the NGA Q & A Library. I found two entries that should help you succeed in rooting the cuttings.
http://garden.org/nga/searchqa...
http://garden.org/nga/searchqa...

Some folks suggest planting the cuttings immediately; others say to allow the stem to dry out for 24 hours before potting.

to NGA!!! I have 3 rooted "Dragon Plants" and rooted them all easily and successfully by planting them immediately. It may work just as well by letting them dry out for a time first, but in my experience, planting them up immediately is the easiest and worked well for me all three times! Just be sure that it is not over-watered during the entire rooting process, they are very susceptible to rot.

Hi Sasas, from me too.
I agree, your plant is Dragon Tree (Dracaena reflexa var. angustifolia) and cuttings usually take root quite easily. I used to let cuttings lay out to callous over for a few days before potting but my attention span is that of a gnat anymore and it got to the point where I'd forget about them so now when I take cuttings I just immediately stick them back down into the soil of the pot that that the mother plant is in. I keep a small container of rooting hormone powder in my gardening supplies that I use for cuttings but if by chance I've misplaced the rooting powder I also have a small container of ground cinnamon in my plant supplies that works well for cuttings too ... cinnamon is a natural fungicide as well.

Dracaena marginatas are often mistakenly referred to as Palms. They are not members of the Palm family, although they have a somewhat Palm-like appearance. Air layering is the safest and most effective way to propagate a Marginata. It is a bit complicated, but worth the effort because when done right the results are virtually guaranteed.

Hi & welcome! That's quite an interesting old specimen that looks like it's been outside for many years. What state or country are you in, if you feel like saying?

I've not had a cutting fail, out of too many to count. I stick them in a pot right away, all the way to the bottom. In your case, sticking it in the ground should be equally successful, if that's what you had in mind.