Highly unlikely, given the fact Minfilia was actually Ala Mhigian and was first seen as a child in the original version 1.0 Ul'dah story with her father Warburton (who was killed during the 1.0 Ul'dah story, thus rendering her an orphan.) Also Minfilia isn't even her real name (her real name is Ascilia).
My guess is that sometime after the events of the 1.0 Ul'dah story (which actually took place sometime around the year 1662 of the 6th Astral Era - the original 1.0 starting city stories were basically almost entirely Echo visions), when she first realized she had the Echo, she changed her name and ended up in Sharalyan in an attempt to find out exactly why she was having these strange visions, where she encountered Louisoix and the Circle of Knowing, who encouraged her to found the Path of the Twelve, a place of research of the Echo while also providing a sanctuary for those awoken to it (Minfilia's meeting with Louisoix and his connection to the founding of the Path was confirmed on the official website as part of the Rising event last year) .
The Path much later amalgamated with the remaining members of the Circle to form the Scions of the Seventh Dawn following Lousiox's disappearance during the Calamity.
It's entirely possible therefore that during this time, she also ended up on the Isle of Val and encountered the Students of Baldesion who also ended up supporting her (and where she grew close to some of the members - this mysterious 'grandfather' and girl named 'Krile'. But of course, this is all just my speculation so take from it what you will. The main thing is though, any relation Minfilia has with Krile would probably be non-family related - as 1.0's story seemed to stress that Minfilia was an only child.
