Answer
No, it does not follow.
Work Step by Step
Imagine an isolated positive charge. Point A, which is closer to it, is at higher potential than point B that is farther away. Supposedly that makes point A at positive potential and point B at negative potential. However, neither point is “charged” at all.
By choosing a different comparison point, “A” could even become negative or “B” could become positive.
In summary, we do not associate a particular sign of charge with whether a point is at higher or lower electric potential than some other point.