The short answer is:
MS Access must not be present when not using automation (not using the Access COM components).
But you must distribute the drivers for the used method (OLEDB, ODBC) and install them if necessary.
The required drivers are provided by Microsoft:
Download Microsoft Access Database Engine 2010 Redistributable from Official Microsoft Download Center[
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Read the instructions from the above link. When installing your application you should check if the drivers are already present for the same architecture (32/64 bit).