The answer is yes you can, but in a more limited set of circumstances.
Depth of field is affected by sensor size, meaning that a camera with a small sensor will have a much larger depth of field (and thus less blur in the background) than a DSLR with a large[r] sensor.
But depth of field is also affected by focussing distance. The closer you focus the smaller the depth if field, giving you more blur. The effect gets stronger the closer you focus so you will be able to get the depth of field effect when doing macro, or close to macro shooting with the x90.
Whilst long zoom lenses don't affect the depth of field (much), they do influence the degree of background blur, meaning you can get the effect you're after by using the longest focal length possible. Given the x90 offers a 626mm (equivalent) focal length this should be plenty long enough.
You can also fake the effct in Photoshop but that requires masking the subject by hand in each photo.