No. There is no correlation between typing and allocation. The first is a language feature, the second (usually) a detail of a specific implementation that may depend on specific optimisations and other factors. Some variables will not be "allocated" at all. In more high-level languages, it is even wrong to assume that there is any connection between variables and allocation at all -- they just name certain values in the program text.
The only relation types have with all of this is that they enable more interesting optimisations, or at least make them much easier.