I think you can. It grows like the ajuga reptans that I planted in a whole bed, and for many of them I planted the creeping stems which had some roots coming down and they did fine. They needed heavy watering the first several days - two weeks. If it's getting hot where you are, I'd also mulch around it. They'll root down through the mulch, I think. It's a very attractive plant. I think I'll go on the hunt for some next year. :) How prolific is it though? How readily does it spread? If it's as prolific as ajuga, you may end up battling it to keep it in bounds. If not, then no worries.

I got lucky only one week after reading your posting which introduced me to mazus reptans! A garden center was going out of business and I was able to purchase several plants for just a few bucks! I now have my mazus reptans :) Thank you.

What did you decide to do?