No, especially if both the SATA and EIDE interface connectors are part
of the motherboard. If one or the other is interfaced via a PCI card,
verify the system's BIOS sees both drives.

If you would please define "it didn't work" (e.g., boot error messages
or BIOS warnings), it might help determine the trouble.

One thing I've noticed with more recent systems (those with SATA drive
interface(s) on the motherboard) is that the newer type of EIDE cable
along with choosing "Cable Select" (CS) is needed for EIDE PATA drives
to work 100% reliably (esp. for ATA 300) -- such cables are normal;y
supplied with newer PATA drives and can also be found/purchased at
good computer hardware stores.

Note there are EIDE HD cables for ATA 66, ATA 100, ATA 133, and
ATA 300 speeds with the higher-speed cables being priced higher.