[name_f]Ivy[/name_f] is a stretch, but works for just a family pet name. I prefer [name_f]Tori[/name_f] for a nickname, and tend to shy away from [name_f]Vicki[/name_f]
Victoria…
Ria
Toria
Torra
Vivi (vie-vie or vivvy)
Vi
Vic
Vicky
Vica
Tori
Via
[name_f]Vita[/name_f] and [name_f]Tori[/name_f] are the cutest nicknames I think for [name_f]Victoria[/name_f]. [name_f]Ivy[/name_f] to me is a stretch without some sort of association with the name. I think [name_f]Yvette[/name_f] and [name_f]Yvonne[/name_f] get you closer to [name_f]Ivy[/name_f] and possibly Ivanya or Iviane as possibilities.