This is definitely possible, I had a search through our ESM and only found a couple of events. The signature ID for this event is 43-263051390, this might help your searching.
We have default AD logging on the Domain Controllers and grab the logs via WMI.
As an FYI we get the following custom types parsed which should help you work out if these events are going to be useful;
Object = full distinguished name of object moved
Old_Value = Example = CN=COMP_NAME,CN=computers,dc=DOMAIN,dc=au
New_Value = Example = CN=COMP_NAME,OU=NEW_OU,dc=DOMAIN,dc=au
You also get all the usual's such as the user that made the change and the security_ID.
Had to enable DS Access > Audit Directory Services Changes (success) under the advanced audit config. Once I did that, I was able to search for signature id 43-263051390 and there it was. Many thanks!