The stoichiometric reaction coefficients tell you the order of reaction only if the reaction is an elementary reaction. If you are given a general reaction and you don't know the mechanism, there is no way you can know what the rate law will be. For example, if the mechanism for your reaction is:
NO2 + F2 --> NO2F + F. (rate limiting step)
F. + NO2 --> NO2F (very fast)
then the rate law will be v = k[NO2][F2]. Other reaction mechanisms will give other rate laws.