The SATA and SAS standards (and consequently all drives and connectors) both support hotplugging, the question is if your controller (and its driver) does.
According to the
manual, the PowerEdge 2970 supports "Up to eight 2.5-inch, hot-plug SAS or SATA internal drives".
So the answer is that you can go right ahead and insert new drives. Once you've done that, you'll need to configure the RAID controller to either add the drives to an existing RAID set, or create a new set. The drives should then be visible from the OS, and you can extend partitions/add space to LVM/partition a new drive/whatever, depending on the drive configuration.