The manual shows mounting points for three of either type, although it's not specific as to how well they might mix & match.
If you need more, you can usually find ways of adding extra 3½" HDD and especially 2½" SSDs, as the latter don't care which way up they go. Pretty much anywhere you can screw or cable-tie the drives to. Unused fan grilles are a good example.
SATA data cables, or SATA power cables?
If the latter, you may find they're not suitable for this PSU, even if they're of the same brand, as the pinouts can differ and you risk shorting/breaking/blowing up components.
Your only real limit is the number of SATA power cables available and SATA data ports on the motherboard, which I cannot immediately identify from the shop photos, but looks to also have a second M.2 slot if you still need further space. If you don't have enough SATA power cables, you could look to the USBs on the mobo I/O panel and those on the case itself, which can instead facilitate the HDD/SSDs in external enclosures. I don't know if eSATA is still a thing, but I believe that would offer a similar, faster external option if you have such ports.
