Yes, but "titanium" and "heat exchanger" are a bit of an oxymoron. Titanium is a very poor conductor of heat. If you're trying to pick up heat and conduct it to the contents of a pot, titanium is (almost) the last material that you'd want to use. On the other hand, if I recall correctly, aluminum is a superb conductor and absorber of heat, surpassed only by copper, gold and silver -- and copper, gold, and silver are heavier and a little on the pricey side whereas aluminum is light and cheap.
So, you marry the aluminum to the titanium and voila you have a heat exchanger on a titanium pot. The only problem is if the two don't get along. As noted, there have been some reports of problems with the heat exchanger separating from the pot. In one case the result was quite fiery. Mating Al to Ti is no simple process based on the discussions I've had with people who are familiar with the subject.
How common are these separation problems? Dunno.
Will these problems become more common as the Sol Ti stoves age? Possibly, but I can't really say.
Honestly, I like the idea of an 8.5 ounce (out of the box) Ti stove/pot heat exchanger combo, and I hope these are just quality control failures. The thing that nags at the back of my mind though is the difficulty of marrying Ti and Al.
Ultimately, I suppose time will tell. The more they sell and the mroe "miles" that get put on those stoves, the better idea we'll have of how common failures are and if there really is a problem.
Adventures In Stoving