No, your SATA SSD should be visible.
Let’s try this take the drive out with the cable and unfold any creases as well as put the system back together you should have room enough to plug the cable in before mounting the fan unit. I use a few books to hold the case with the drive dangling under it.
See if the drive starts up that way. If you have an old HDD you could give that a try as well, placing your finger on the drive you should feel a bit movement when the system starts as the motor starts up. If not you may have a bad cable.