How so? Depends on your definition of accurate. From parallax change over a period of time, we can determine the distance. By observing pairs of orbiting stars, we can determine their mass. By observing the frequency of their light output we can tell what they are burning (hydrogen or heavier elements). If we know its mass and we know what it is burning, we can deduce how long it takes to burn. By observing different stars at different phases of their life, we can get an idea of the life cycle of an individual star. Now all of this is fairly scientifically sound, most of the math comes from Newton and Kepler, equations that have been around for 100's of years that describe everyday occurences, and not always needing relativity to explain it, and certainly not fancy unproven theoretical physics like string theory or multiverses or whatever.
I took an astrophysics class in college and was surprised to learn how much of it is simply an application of Physics 101. So there are definitely ways to measure the lifespan of a star, but if your definition of accurate is different than mine, then sure I can see how you might say that we can't do it "accurately."