Upvote:2
Yes, you can use an EEA family permit for a short trip. My best evidence in support of this assertion is that my mother-in-law has done it.
In the free movement directive, there is a "right of residence for up to three months" which does not require anyone to be a "qualified person" (i.e., working, studying, or having demonstrated self-sufficience): this is the right that is exercised by short-term visitors. So don't be unduly confused by the use of the word "residence."
As an unmarried partner, you'll have to provide evidence of your "durable relationship," which should normally be accepted if you've lived together for more than 2 years. As long as you can do that, the EEA family permit should be granted.