Not easily. That hard drive is out of some sort of disk array. It looks like its a FC (fiber channel) hard drive with a SAS bridge put on it (This was common in older arrays using high-speed hard drives when most were shipping with fiber channel and storage manufacturers would add a SAS bridge for it to interface with their SAS array offerings).
Your real issue is that you're unlikely to find an external 4x SAS connector (in this case, the Dell card is using screw-type CX4 or SFF-8470) to an internal SAS connector (SFF-8482) for low cost. It isn't a standard type of cable and they as such the cheapest I can see one is on some one-off sites for $70 or $100 for a more reputable site. You would also have to figure out a way to supply power to the drive (usually from a molex pigtail off your conversion cable) since SFF-8470 is only for data transfer, not power.
So the answer is you could, but the cabling costs would be high, and you would still need to figure out how to power the drive. Combined with the fact that the drive's only real benefit is about 75 more IOPS over 3TB SATA hard drives (which SSD's can easily eclipse that number), and I would say if it were me, it's not worth the cost to try to get working unless you already have a shelf array the drive cage can fit into.