Can I adjust Distributorless Ignition System on 2005 BMW 323 ?

No Actually its not possible.Because,
The programmed ignition system provides an adaptive, optimal ignition timing that is controlled the by the Powertrain Control Module (PCM), based on input sensor information. This system cannot be adjusted.

Distributorless Ignition System

NOTE

Disconnecting the negative battery cable on some vehicles may interfere with the functions of the on board computer systems and may require the computer to undergo a relearning process.

All ignition and fuel injection functions are controlled by the Digital Motor Electronics (DME) control unit. Ignition timing is fully electronically controlled; there is no vacuum advance or manual adjustment. Ignition functions are calculated from internal maps and from the same sensors used for the fuel injection system. Vehicles with an automatic transmission, the control unit will retard ignition timing briefly when the transmission is about to shift up or down. For this reason, there is a data link between the DME control unit and the transmission control unit.

Variations of this ignition system are used on different engines. The M50B25 engine uses distributorless ignition with a coil pack mounted above each spark plug.

This details will help you.

Thanks.

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For more car related problem troubleshooting:---

This are the sections, you can go through and click the link to read its troubleshooting.

---------

The car will not start?

http://schematicsdiagram.blogspot.com/2011/06/car-will-not-start.html

-----------------

Car will not crank?

http://schematicsdiagram.blogspot.com/2011/06/car-will-not-crank.html

-----------

Car has no spark?

http://schematicsdiagram.blogspot.com/2011/06/car-has-no-spark.html

-------------

How to troubleshoot car battery?

http://schematicsdiagram.blogspot.com/2011/06/how-to-troubleshoot-car-battery.html

-----------------

How to test starter solenoid?

http://schematicsdiagram.blogspot.com/2011/06/how-to-test-starter-solenoid.html

--------------------

How to test cars starter?

http://schematicsdiagram.blogspot.com/2011/06/how-to-test-cars-starter.html

How to replace starter in car?

http://schematicsdiagram.blogspot.com/2011/06/how-to-replace-starter-in-car.html

-----------

car will turn over but will not start?

http://technoanswers.blogspot.com/2011/05/car-will-turn-over-but-will-not-start.html

-----------------

Car wont start?

http://howtobyme.blogspot.com/2011/10/car-wont-start.html

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Distributor Details for 2005 BMW 325?

Distributor

The ignition rotor in the distributor assembly used on the S14 and M20 engines is driven off the front of a camshaft. The sole purpose of the distributor is to distribute the high energy ignition from the ignition coil to the spark plugs. Aside from the distributor cap and rotor there are no additional ignition components located within the distributor housing. The distributor housing serves only as a mounting surface for the distributor cap.
The ignition timing is controlled by the DME control unit. No adjustment is possible.
This details will help.

---------

For more car related problem troubleshooting:---

This are the sections, you can go through and click the link to read its troubleshooting.

---------

The car will not start?

http://schematicsdiagram.blogspot.com/2011/06/car-will-not-start.html

-----------------

Car will not crank?

http://schematicsdiagram.blogspot.com/2011/06/car-will-not-crank.html

-----------

Car has no spark?

http://schematicsdiagram.blogspot.com/2011/06/car-has-no-spark.html

-------------

How to troubleshoot car battery?

http://schematicsdiagram.blogspot.com/2011/06/how-to-troubleshoot-car-battery.html

-----------------

How to test starter solenoid?

http://schematicsdiagram.blogspot.com/2011/06/how-to-test-starter-solenoid.html

--------------------

How to test cars starter?

http://schematicsdiagram.blogspot.com/2011/06/how-to-test-cars-starter.html

How to replace starter in car?

http://schematicsdiagram.blogspot.com/2011/06/how-to-replace-starter-in-car.html

-----------

car will turn over but will not start?

http://technoanswers.blogspot.com/2011/05/car-will-turn-over-but-will-not-start.html

-----------------

Car wont start?

http://howtobyme.blogspot.com/2011/10/car-wont-start.html

----------