Well, sort of. I would want them to have similar endings, or be of the same ethnic origin.
Charlotte &
Alice ... after my two grandmothers (is a theme)
Theodora &
Matilda ... both end in a (is a theme)
Benjamin &
Samuel ... both Biblical
Felix &
Casper ... both off-beat due to harmless television character associations
Mary &
Lucy ... similar endings, letter amount.
I suppose you could say I would.