If the subject size and position vary, a simple Photoshop batch crop usually won’t give consistent results. The most workable options mentioned are:

1. Use subject/face detection with a script, such as OpenCV in Python, to detect the person or face and then scale/reposition the crop automatically.
2. In Photoshop, use a fixed template and an action to place each image into that template, then resize by percentage. This can speed things up, but you’ll still need some manual adjustment if the shooting distance changes.
3. Load the files into a stack in Photoshop, crop the document, and export each layer. This may help if the images line up reasonably well, but it can become impractical with hundreds of files because of file size.

So: yes, partial automation is possible, but if the photos were not shot from the same distance, fully automatic perfect cropping is unlikely without computer-vision detection. For best consistency, separating the images by pose/angle first and then applying a workflow per group will help.