Is it possible for the bulk modulus to be negative? Explain, and give an example if possible.?

Answer 1

Bulk Temperature Modulus is -ve when water iis freezing because as the water cools below 4Celsius a molecular reorientation occurs resulting in the expansion of the water..

Bulk Presssure Modulus is usually expressed as a negative number as when you increase the pressure the volume usually decreases.

Doeas your Question mean negative negative ie Positive: this would happen for Pressure Bulk Modulus if the pressure caused a restructuring - a change in crystal type. This would only happen if you had a metastable material otherwise it would be breaking the thermodynamics laws.
Look at some of the zircon compounds, ferro-electrics; transition elements or actinides you may find something there,