Can I use Eevee's "Call for Family" to search through my deck if I already have four Eevee in play or in the discard pile?
You can use the attack, but you cannot search your deck since it is public knowledge that you won't find an Eevee because all four copies of the card are already in known areas.
Source: PUI Rules Team (2008-07-17); TPCi Rules Team (2023-03-23)

Relevant cards

Note: All applicable cards may not be listed below.
DP5_62