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Yes its very possible that you have a failing BCM but most common for this issue a a faulty drivers door actuator.
What is going to be needed is a good scan tool with BCM live data that can check which door actuators are closed and open when driving .
Also check for BCM malfunction codes maybe already recorded that there is a fault .
When driving and in live mode all the doors normally lock automatically , then in live data check for any of the doors that may be opened , this will cause the locks to unlock and lock .drivers door is normally the problem .
If no codes in any of the system then could be a BCM ?? But as said not a common issue for the BCM to cause this issue
Need further assistance with this issue then please get back to me , be very happy to help if needed.