Water contracts when ice melts because of hydrogen bondings.
In the form of ice, molecules are arranged in such a way that number of H-bonds are maximized. Due to this many bonds, there are a lot of space amongst them which results in higher volume in the ice form, and thus lower density.
When ice melts, some of the H-bonds are broken so that molecules can arrange themselves more compact together. This results in a reduction of volume(reduction of space previously due to H-bonds), and thus an increase in density.
For the case of bromine, there doesn't seem to be any reasons for it to become denser in the liquid form, so your statement should be correct.