"voet" - foot/feet "ganger" - someone who moves along using the former noun
The Latin Root is what connects many European languages.
Pater - father
Pes - foot
Primus - first
Note the English word is not necessarily the closest to the Latin one.
P and f are also considered the same sound in a few word distance metrics such as Soundex for the very same reason.
"Foot" and "pes" both descend from the same Indo-European root, but the English word has no influence from the Latin one. Compare "pedestrian", which uses the Latin root directly.
https://en.wikipedia.org/wiki/Grimm%27s_law#Examples
The first part of the law is a general stop to fricative pattern, so not just p->f, but also t->th, k->h, etc.
Not in this case. Proto-Germanic before the Norse languages split off would be the root that connects English, Dutch, and German with Norwegian.