No. /home needs to have support for POSIX file ownership and POSIX permissions. Neither of the FAT-based filesystems nor NTFS support this.
The best you can do with regard to interoperability is use a separate Windows-supported filesystem mounted to a directory inside your $HOME — e.g. /home/your-username/Data — and put all of the stuff you want to share with windows in there. Note: This will not work with applications that use their own data directories, such as Thunderbird, web browsers, et al.
