Yes, that is perfectly possible. You can install the Manjaro root filesystem on the SSD, and then create a partition on the HDD for /home. The latter is where all your personal data will be stored.
Do however bear in mind that /home must be a Linux-native filesystem. NTFS or any of the FAT variants are not supported, because they cannot store POSIX file ownership information and POSIX permissions. If you want to be able to exchange files between GNU/Linux and Microsoft Windows, then you should create an additional partition with an NTFS or FAT32 filesystem on it.
More information ─ albeit post-install ─ can be found in the following post.
