Does the bible acknowledge the existence of other Gods besides YHVH?

Yes, Baal is one.

And Dagon.

Judges 16:23, Chronicles 10:10, 1 Samuel 5

Biblical (but non-religious) scholars identify Dagon with the moon, in the the same way that the Judeo-Christian God probably started with Sun worship.

So, in a curious way, Dagon is the "Allah" of Islam, (which almost certainly started (and continued for many centuries) as moon-worship - hence the crescent moon at mosques and in other Islamic contexts).

Hey, that's a bit of a downer if you are a real adherent to either faith, sorry.

Well, one of the 10 commandments is Thou shall put no other gods before me - would that imply that there were some, although weak compared to the One True God -

The bible acknowledges the god of this system of things who is very real. It says at 2Cor 4:3,4 "If, in fact, the good news we declare is veiled, it is veiled among those who are perishing, among whom the god of this system of things has blinded the minds of the unbelievers, so that the illumination of the glorious good news about the Christ, who is the image of God, might not shine through."

So while it may be thought that God our creator has the whole world in his hand. The very opposite is true. The bible says at 1John 5:19 " We know that we originate with God, but the whole world is lying in the power of the wicked one."

The god of this system is none other than satan the devil. The Bible acknowledges and warns of his existence.

Yes. The Bible, multiple times, states the existence of more that one god. "God" is a title, and shows authority. It is not a proper noun that is exclusive/specific to a particular individual.