Well technically an enclosure could transform the 5V with more parts (more cost), but yeah I forgot that, too.
Perfectly true. It's feasible to use a boost converter to step up 5V to 12V, but unfortunately, the current drawn by the motor in a 3.5" spinning hard disk often exceeds 1A at startup, before dropping back to around 500mA.
12V x 1A = 12W peak power (demanded by the motor) and a standard USB 3.0 Type-A port can only provide 900mA. 5V x 0.9A = 4.5W which is nowhere near enough to provide power for the 5V logic board plus the 12V motor supply on a 3.5" mechanical drive.
That's why most "desktop" style USB3 hard disks (e.g. WD Elements) come with a sizeable 12V power brick, rated at 1.5A DC. 12V x 1.5A = 18W, which is more than enough to run most 3.5" drives. N.B. The 5V supply for the hard disk controller board is derived from the 12V input.
On the other hand, I've successfully run 2.5" IDE (PATA) laptop drives in a USB 2 caddy with nothing more than the 500mA typically available from a USB 2.0 computer port. This is without the second daisy-chain plug on the interface cable normally supplied with the caddy.
It's a close call using only one USB 2 port with a limited 500mA power budget and not to be recommended, but if your laptop only has one spare USB 2 port, it's worth a try. With USB 3 and 900mA, it shouldn't be a problem using just one Type-A plug to power a 2.5" hard drive caddy.
There's no 12vDC on any USB port
One could argue that modern USB-C devices supporting PD (Power Delivery) are capable of demanding and operating at 12V (or 9V, 15V, 20V, and possibly even 48V).
It's quite common to find laptops that can be charged at 20V 3.25A (65W) or 20V 5.00A (100W) via a USB-C charger. Circuits in the laptop's USB-C port negotiate a voltage and maximum charging current with a PD-capable PSU and the relevant supply becomes available.
Admittedly, I've yet to encounter a desktop PC or laptop with a USB-C PD-capable output port (as opposed to a PD-capable input port) but I suppose such devices might exist. USB is a steadily evolving standard and I'm often surprised at developments.