Nope. If you glance through the verses, you'll never find anyplace where snakes are specifically called evil critters. Rather, the snake is used as a symbol for everything from Satan to alcohol, from lying to wisdom. Quite a range. Symbolism is used to make it easier to understand something, and does not denote inherent characteristics. For example, the dove is used as a symbol for the Holy Spirit in the New Testament, but there's nothing particularly holy about a bird. At different times, the lion is used positively ("Lion of Judah") and negatively (Satan going about like a "roaring lion").
Beyond the sundry references to snakes is a major thematic symbolism stretching through the scriptures. In Genesis, after Satan shows up in the guise of a reptile, the snake is given a specific representative purpose: the effects of sin. Just as the snake was "separated" from its prior position (considered an enemy of man, the Hebrew expression "eating dust" being a reference to being made low), so man was separated from his prior relationship with God. This separation is not necessarily permanent, though. Symbolically, we see a representation of a metal serpent on a pole used to save Israel in the desert, foreshadowing the crucifixion of Jesus Christ. The Israelites who gazed on the brass serpent were saved from snake-bite; anyone who accepts Christ's death as the sacrificial payment for the sin that separates them from God, committing to following Christ, enters a direct and personal relationship with God himself. Further, we see the inclusion of the snake in the future physical kingdom of God, restoring its position in nature. Just as the serpent is restored, so is man's relationship to God eternally restored, for those who purpose to become disciples of Christ.
So, in effect, the snake is far from being an evil outcast in Biblical theology. It is, rather, a powerful representation of the primary theme in Christianity.