Even those who don't have to cook for Shabbat, still need to do
Eruv Tavshilin in order to light Shabbat candles (from an existing
flame.)
Source:
http://halocho.blogspot.com/2009/04/halocho-304-rare-mitzvah-eruv-tavshilin.html
If you have no need to do any Melacha for Shabbat at all, then
you do not need to make Eruv Tavshilin - and if you still want to,
you may not make a Bracha.
Source: My Rabbi