Hi, and welcome to FineTunedMac.
You can have a CCC backup and a Time Machine backup on the same external drive as long as each backup is on a separate partition
If your drive isn't partitioned already, you can do it with Disk Utility > Partition. Be sure to size your partitions so they've got plenty
of room to grow as the amount of data to be backed up grows so you don't get caught short down the road and possibly lose data.