Probably not in your application.

What determines if you run a tube or not is the rim, not the tire itself. If you have a spoked rim it's most likely you will have no choice but to use a tube. The tire valves are different between tubes and tubeless rims. On a tubeless rim, the valve stays with the rim. Otherwise it is attached to the tube.

I guess you could theoretically install a tube anyway (after ripping out the existing valve stem) but it's not a great idea. Heat buildup from high speed riding and cornering may cause the tube to fail unexpectedly. You won't find anyone willing to take responsibility for it, either -- not the manufacturer of the tube, nor the tire, nor the rim/bike, since you used a combination of parts not designed for the task. (The tube's valve stem is not airtight against the rim, so if you blew a tube inside a tubeless tire on a tubeless rim, the tire itself would not leak air but the gap around the valve stem will.)

For future readers:

• Tubeless rim, tubeless tire: Yes
• Tubeless rim, tube type tire: No
• Tubed/spoked rim, tube type tire: Yes, and use a tube.
• Tubed/spoked rim, tubeless tire: Yes, and use a tube.