Is there a word for evoking jealousy or wanting to?
show-off [shoh-awf, -of] noun http://www.dictionary.com/browse/show--off?s=t
- a person given to pretentious display.
- the act of showing off.
note "pretentious" can mean "making an exaggerated outward show; ostentatious" and something "ostentatious" is "in order to impress others" or "intended to attract notice"
also exhibitionist
In many situations like this I might expect to see the term "taunt with", in the sense of "to taunt [someone] with [something]". There has been some difficulty finding a suitable definition to cite here, as most do not have this specific usage listed, but it is common where I live.
See here: http://idioms.thefreedictionary.com/taunt+with
"taunt someone with something" -- to tease or tantalize someone with something. Jerry taunted Fran with the plate of fudge. Please don't taunt me with food I shouldn't eat.