But there are many other parameters in the spec — can I use them to achieve principal planes?
When the lens is focused at infinity, the sensor lies right on the image-side focal plane, and the corresponding principal plane is one focal length from that plane, towards the lens body.
There is no simple way to find the object-side principal plane. It's not on the specs. You may be able to calculate its position if you have the optical formula of the lens. If you have the actual lens, you may also measure the position of the object-side focal plane by reversing the lens and imaging a faraway object. The corresponding principal plane is again at one focal length from the focal plane.