Hi mirriz1,

You could use the "open chord" form, which is not a barre chord.

The map for that is XX0231

The open D string becomes the 'bass note'. 

The open low E and A are not played. 

The fretted notes, along with that open D string, create a D minor chord.

Definitely has a different TONE than the barre chord version, but it is indeed still a Dm chord. 

Hope this helps a little!

-Lisa