Current life depends heavily not only on RNA/DNA, but also water. I can not see how it is possible to have an information system (such as RNA/DNA) without water possible. Enzymes, even of extremophilic organisms, have a fairly small range where they can work. I think the temperature record is at about 122°C or so as highest temperature. At 150°C, if I recall correctly, ATP has a life cycle of 0.1 seconds or even less than that. Life is very fragile on every level.
In principle one could think of synthetic biology maximizing on all aspects including scenarios not constrained by "classical" life, but even then I can not really imagine how it were based on RNA/DNA without water. One could dispute whether metabolism belongs to life, but even if we were to state that metabolism need not be a defining feature (viruses may not need metabolism on their own, but they are cellular parasites, and in turn energy is required to maintain life, even if it is a dormant life stage such as seeds or what not), I can not imagine a system that could function differently here without a need for water.
If you mean any other solar system in general then it is pretty likely that life is possible on many of them, but logically there would have to be conditions that could yield life, and I think this is quite difficult. For instance, there is no life on Mars and never was, despite NASA trying to milk more money for a "quest" (besides, any such quest is pointless as there is already life on Earth, I fail to see the logic addiction here that more life has to be found "outside"; if the evolution of life is logical, and I believe it is, then it really is irrelevant how often this exists outside of this planet).
If you refer just to stars alone then I do not see how the conditions can yield life. The heat is extreme, it destabilizes almost everything. Even the radiation is deadly. Earth is rather rare here in conditions, see the term Goldilock planets.