Yes of course. Nazr does not necessarily mean paying money but it can be doing something like praying a Namaz or Quran or Du'a or going for Ziyarat or Umra.
Yes it is not only allowed but also recommended to feed people and gift the reward to the soul of the deceased. The Prophet (SAWA) himself used to feed on behalf on deceased Muslims as you can find it is Sunni and Shia books.
'Reciting Du;a is always recommended as well.