Possibly.
Two immediate thoughts:
1) Google "mouse pointer icons". Then revise and filter the search criteria as necessary to narrow the search.
Likely that you will need to download and test a couple to verify that the direction change is as you require and expect.
Be careful about any downloads. Could just be the icon(s) you wish but many such sites attempt to mislead or otherwise trick you into downloading something else. Take a close look at the Download buttons etc. being presented.
If you do not find a suitable icon then you can create your own.
2) Create your own icon.
https://www.instructables.com/Custom-Computer-Mouse-Cursor/
Actually, I found quite a number of possibilities and options.
For example:
https://www.instructables.com/Custom-Computer-Mouse-Cursor/
Google about as you deem applicable and appropriate.
Do be wary of downloading third party tools and utilities.
You may be able to use your existing icon, make a copy, and just edit the icon via mirroring, rotating etc. via Paint.
If the arrow later proves to be problematic then you can edit again as necessary.
Safest suggestion:
https://www.wikihow.com/Create-an-Icon-in-Paint