Can Photoshop semi-automate background removal using a reference background image?

Depending on how you make your photos, it can be pretty easy to impossible...

If

• you control the lighting of the wall (it can be patterned, but makes life harder - in general a single color with even lighting is recommended)
• there is no shadow being dropped by the people on the wall,
• the wall color and ANY color on the people has no match (or they are not even near)
• the camera is fixed
• the DOF is fixed
• the focus(!) is fixed
• the white balance, etc. is fixed (use color calibration at the beginning)
• and you use low ISO to avoid dots in the image,

then

• you can take a reference photo of the wall,
• make a photo of the people (or one person)
• put these two images in Photoshop
• use "Substract" on the two image layers
• use threshold to select those points that are close to 0,
• use the created image as a mask to mask the photo with the people

This all can be automated using batch processing. But before you do that, try it yourself manually. In general, this is not impossible, but not easy either.

You might need to mess a bit manually with masking, but if you keep to the rules above, the manual work is not so much. If you deviate from the rules above, it just gets harder and harder.

Especially around hair, this can become a nightmare, because hair works as a kind of filter, which can alter colors - this is just physics.

There is a reason why people use greenboxing/blueboxing, and even that needs good skills to produce great results (unless you go for a low-resolution output).