Yes, Or desolder the part of the loom you don't want for a clean finish.You can, with the power supply off, just snip the sata-cables and put a shrink tube cap on each of the sata-cable ends. Less cables to worry about :-)
Happily provide stripped down loom this way at no extra cost on 600W Enhance ENP-7660B. 3yr warranty would remain.
If shortened ATX 24pin / CPU / PCI-E looms are needed as well that would be an additional cost due to time in unpinning, cutting, stripping and recrimping.
Either way we've over 10 years experiance doing this on over 3,000 Flex ATX PSU's.