Intermittent 'Cannot Acquire Connection' To MS Access Error

I'm getting an intermittent error 'DTS_E_CANNOTACQUIRECONNECTIONFROMCONNECTIONMANAGER' when attempting to connect to an Access mdb. We have a weekly package that fails almost every other week. The package uses a FileSystem task to copy an Access mdb which we use as a template. It has a single table structure which is empty. The FileSystem copy task creates the 'clone' in a different folder with a new file name. The new file name has the current date embedded in it. The next task is a DataFlow task which fills the single Access table with data. It uses an OLE_DB connection to the Access mdb. Since the destination mdb is created at runtime in the FileSystem task, I have set the DelayValidation = True for the DataFlow task. The package is called from a 'master' package via an Execute Package Task. The master package is launched from a web application. Interestingly, when I use the 'restart from checkpoint' feature it restarts the package at the DataFlow task and runs it successfully. I have used the 'restart from checkpoint' after each failure and it has always worked. When I try to isolate the problem in a test package I am unable to reproduce the error. Our SqlServer version is Enterprise Edition (64-bit) with SP2.

Anyone have a similar experience? Thanks in advance.