If any program is capable of AMJ to MMW conversion, it would be Acemoney from which file types originate. Except for that, there is probably no other software that could otherwise perform this conversion.
Convert AceMoney database to AceMoney financial data file.
We have found one software suitable in our database for this conversion.
Multiplatform software - convert amj to mmw on any platform
A personal finance manager
Convert from amj file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.