Is Muhammad Prophesied in the Bible?

I would say, "Yes he is, but not where you would expect him to be:"

Many false prophets will arise and will mislead many. Because lawlessness is increased, most people's love will grow cold.
(Matthew 24:11-12)

For false Christs and false prophets will arise and will show great signs and wonders, so as to mislead, if possible, even the elect. Behold, I have told you in advance. So if they say to you, 'Behold, He is in the wilderness,' do not go out, or, 'Behold, He is in the inner rooms,' do not believe them.
(Matthew 24:24-26, also see Mark 13:22-23)

No wonder, for even Satan disguises himself as an angel of light. Therefore it is not surprising if his servants also disguise themselves as servants of righteousness, whose end will be according to their deeds.
(2 Corinthians 11:14-15)

But even if we, or an angel from heaven, should preach to you a gospel contrary to what we have preached to you, he is to be accursed! As we have said before, so I say again now, if any man is preaching to you a gospel contrary to what you received, he is to be accursed!
(Galatians 1:8-9)

Beloved, do not believe every spirit, but test the spirits to see whether they are from God, because many false prophets have gone out into the world.
(1 John 4:1)

I am being tongue-in-cheek about this, of course. These passages refer to false prophets and false gospels in general, so they can refer to Muhammad, but can easily refer to Joseph Smith Jr., Ellen G. White and Charles Taze Russell as well. Now, for those who want a more serious answer to this question, Answering Islam has plenty of articles on this particular topic.