Yes. I think what's important is having the correct proximity between the two different pi bonds, not whether the pi bonds exist between two carbon atoms, or a carbon atom and an oxygen atom (carbonyl), or a carbon atom and a nitrogen atom.
So, for instance, say you have an aldehyde: carbon 1 is double bound to an oxygen (terminal carbonyl group -- definition of an aldehyde). If a double bond exists between carbon 2 and carbon 3, then you have a conjugated system that exists between the carbonyl on carbon 1 and the alkene between carbons 2 and 3. If you were looking at an IR spectrum, the peak for the carbonyl would show up somewhere around 1690 1/cm instead of the usual 1710 1/cm because it is a 'conjugated carbonyl'.
Hope this helps.