I don’t think so, but it really depends on what your application does, and where it is running.
Long variables use 4 bytes of memory while Double use 8 bytes. Unless you use a really huge number of variables, and the system in which the program runs has not enough resources, I don’t think it will be noticeable.
Also, the number of mathematic calculations the program performs is important. If the program perform a huge number of calculations, its performance could be affected with the change.