I guess there are two main solutions:
From the science of antropometry you might find some clues of the probability that you have of growing taller. For example, if your body (hairs and stuff) already look like an adult body, then you would probably not grow much more. See @MCM's answer who gives a solution that will be way more useful to you than my answer!
Knowing the size of your parents you can infer your expected size. Below are some comments on this question.
Any phenotypic trait has shows some part of variance. This variance is explained by genetic variance, environmental variance and the variance due to the interaction of genetic and environment. In equation it gives:
$$V_P=V_G+V_E+V_{GxE}$$
Dividing the genetic variance by the phenotypic variance gives the heritability
$$H=\frac{V_G}{V_P}$$
Estimations of heritability (in the narrow sense, see this for more info) can also be realized with selection experiments or parent-offspring.
The heritability of height in humans is around 0.6 (Welcome to anyone who can give an accurate value and a good reference) which is quite high. It means that half of the variance in height among humans has to be accounted to genetic variance. If your parents are tall, don't lose hope, you have quite a good probability to grow tall.