Andrew,
The only way to know if that rod will flip a flyline good enough for your purposes is to try it. Tenkara is not magic. I have casted fly lines with spinning rods, old fiberglass bait rods, and yes, sticks. The key is to find an instrument which will load sufficiently with only the very subtle weight of a fly line, which is trickier than it sounds, especially with any wind. Sometimes, adding 2-3 split shot along the line for added weight will help with this and will get your fly deeper as well. If you are after the classic, upstream, dry fly experience, then your "rod" will have to be quite supple. I have used one of the long 10-14' fiberglass bait fishing rods that you see many asians use on lakes. These have a tip which is quite supple, but only the top 20% of the rod or so, the rest of the rod is a bit on the stiff side. If this rod is anything like those, it might just work with a flyline about the same length as the rod (length of rod x 2 = casting distance). However if you want to cast a line 1.5-2 times the lenght of the rod as is often done with Tenkara rods, then your "rod" will need to be even more precise, not to mention your technique. Often, I find that any 8' rod, with an across-and-downstream presentation in broken water (wet fly style) will produce pan-size trout. My daughters have done this into the wee hours of the evening and had a blast. Whether or not some people would call this "Tenkara", I dont know or care. But if it helps folks in any way, there was no reel involved and the line had to be repeatedly "casted" behind us and forward into the current.
I'm no expert, by the way. I've just tried a few things and found some that worked. In my experience, any experimentation you do along the way will result in temporary decrease in fish landed and a proportionate increase in skills/experience gained.
Personally, I had already chosen a very supple 9' fiberglass spinning rod circa 1970 as my "tenkara" rod when my wife, unbeknownst to me, bought me an actual Tenkara USA rod for Christmas. :) And I love it! I already caught a very memorable fish on the Upper Owens this past summer with it. Could I have caught the same fish with the same method if I had used the spinning rod? Yes. this fish was caught about 5 feet in front of me in a deep hole.
I'm not trying to start an argument about the definition of "Tenkara". I dont care about that really. Just making sure you get both sides of the coin. Here is a quote from some Tenkara badass at a big flyfishing hooha back in '09…
"Originally the rod was simply a bamboo/cane rod, which was cut and treated, but unlike contemporary western bamboo rods, they were not "manufactured" (i.e. split and glued back together). Unlike in the western fly-fishing tradition where anglers used heavy wooden rods, in Japan anglers always used bamboo, which is readily available and very light. Because of its light weight, Japanese anglers were able to use very long bamboo rods and reach as far as needed without the need to develop reels for the short rods developed in the west"