This depends on how you interpret both the Intelligence and Wisdom stats. Intelligence could be both what it seems like on the surface, how naturally or intuitively smart the character is, or it could represent knowledge - as it is used, it usually represents knowledge. Wisdom could also mean your intuition due to experience, or it could represent force of will - again how it is usually used.
If you have Intelligence = Knowledge and Wisdom = Willpower, it's quite easy - the high Intelligence and low Wisdom character knows a lot of facts, but is something of a mental pushover. The low Intelligence high Wisdom character doesn't know many facts at all, but is mentally very tough. In this case Wisdom would be the more important stat for social interactions, so you wouldn't just rely on Charisma.
There are several more sets of combinations you could have, such as Intelligence = Natural Smarts and Wisdom = Experience, or even Intelligence = Knowledge and Wisdom = Experience, in which case they're both different sides of the same coin. That latter case, you could have someone who knows a lot of things theoretically (high Intelligence) but can't apply anything in practice (low Wisdom).