How can I change my login profile picture on a Mac without also changing my iCloud user picture?

Hi, Handyisland.

To change the picture, follow these steps:

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1. On your Mac, choose Apple menu  > System Preferences, then click Users & Groups .
2. If the lock at the bottom left is locked , click it to unlock the preference pane.
3. Select the user account on the left.
4. You can’t select an account for a user that’s currently logged in (indicated by a checkmark on the user’s picture). The user must log in and change their picture or log out so you can change it.
5. Click the user’s picture on the right, then do any of the following:

• Select a Memoji: Click Memoji, then click the Add button  to select and compose a facial image. Or select one of the displayed Memoji, then select a pose and style you like.
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• Select an emoji: Click Emoji, then click the Add button  to select an image from the emoji library. Or select one of the displayed emoji and select a style.
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• Select a monogram: Click Monogram, select a background color, then enter initials.
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• Take a picture using your Mac camera: Click Camera. Set up your shot, then click the Camera button. You can retake the photo as many times as you need to. 
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• Select a photo from your Photos library: Click Photos. To see photos from a specific album, click the arrow  next to Photos in the sidebar, click the album you want, then select a photo.
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  • Tip: To quickly replace the current Apple ID picture with an image on your desktop, just drag the image from the Finder onto the current picture.
• Select a suggested image: Click Suggestions, then select a picture.
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1. After you select an image, you can adjust its look. Do any of the following:

• Adjust the image location: Drag the picture around within the circle.
• Zoom in or out: Drag the slider left or right.

1. Click Save.

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Change picture

Cheers.