Since there is no HTTP interface on the player by default, the answer is no.

However, if you wanted to ask that same question of Hijack, which is a third-party add-on, then perhaps asking the question in the "programming" forum and directing it at Hijack might yield a more interesting answer.

I honestly don't know if it's even possible to do this in Hijack at all. I doubt it, but maybe if you prodded Mark about it nicely (in the "programming" forum), then perhaps he might think of an interesting way to make it happen.