I would like to know whether there is a word in English that can express the feeling of being pissed off combined with enviousness. I have searched in dictionaries for synonyms of both, but I couldn’t find any satisfactory answer.
In discussing the usage differences between envy and jealousy, NOAD includes a note that reads:
Jealous may refer to a strong feeling of envy, or it may imply an intense effort to hold on to what one possesses; it is often associated with distrust, suspicion, anger, and other negative emotions. [emphasis added]
You may use any of these words -
Covetous, envious or jealous as described as close synonyms here.
Now coming to your concern with pissed off PLUS 'enviousness'. Wikipedia describes
Popular culture uses the word jealousy as a synonym for envy (so when you are envious, you are probably pissed off as well!). Many dictionary definitions include a reference to envy or envious feelings. In fact, the overlapping use of jealousy and envy has a long history.
Perhaps the overlapping use of jealousy and envy occurs because people can experience both at the same time.
In other words, getting pissed off (frustrated, annoyed or disturbed) depends on the degree of your enviousness and is more psychological.