No you cannot do that using Quickfix, unless and until the counterparty is modelled to give you FIX acknowledgements to your specific liking. That is why you can add your customized FIX fields to the FIX XML config file.
373 tag says 11 -> 11 = Invalid MsgType
58 confirms it for you again.
Check your FIX XML config and check if your message is complete and if your counterparty allows the messages of type AP.