It doesn't "say" that, but there are a few passages that SUGGEST or INDICATE that. The most obvious are the first two chapters of Job, in which God gives Satan permission to bring catastrophe upon Job. By the end of Job we learn that Job deserved it. Less obvious are passages such as comparing 1Ch 21:1-15 (Satan is credited with inciting David to sin) to 2Sa 24:1-16 (the same event, but God is credited with inciting David to sin). Typically it is concluded that God instructed Satan to incite David to sin, thus both God and Satan being responsible. (And note: there are other Bible passages in which God plainly instructs "an evil spirit" to incite someone to sin, thus supporting the previous conclusion.)

God has sent evil angels (in the Passover story).

There are two types of Satan in the bible, The Satan who is the Adversary, or The accuser who sits in the presence of the Lord accusing day and night, he is seen in Job when he states "Skin for skin! Yes, all that a man has he will give for his life." However, put forth Your hand now, and touch his bone and his flesh; he will curse You to Your face." Paul also states "For we wrestle not against flesh and blood, but against principalities, against powers, against the rulers of the darkness of this world, against spiritual wickedness in high places." In this he is stating we do not wrestle against human to human, but against evil, and as you know evil spirits are often cast out of people.in the bible. The other satan is the persons own evil inclination which is referred to the most. Paul refers to the battle within :- But I say, walk by the Spirit, and do not gratify the desires of the flesh. For the desires of the flesh are against the Spirit, and the desires of the Spirit are against the flesh; for these are opposed to each other, to prevent you from doing what you would. Romans 8:6 - For to be carnally minded is death; but to be spiritually minded is life and peace. This is sin, and as you know sin leads to death, hence satan is also associated with the angel of death, as anyone is who is on a destructive path of sin, or causes another to sin, as he too becomes the tempter or satan. The book of Jude also talks about a group of people who have been with us throughout history who do not want us to believe in God "For there are certain men crept in unawares, who were before of old ordained to this condemnation, ungodly men, turning the grace of our God into lasciviousness, and denying the only Lord God, and our Lord Jesus Christ." Jude goes on And "the angels which kept not their first estate," but left their own habitation, he hath reserved in everlasting chains under darkness unto the judgment of the great day. 7 Even as Sodom and Gomorrha, and the cities about them in like manner, giving themselves over to fornication, and going after "strange flesh," are set forth for an example, suffering the vengeance of eternal fire. 8 Likewise also these filthy dreamers defile the flesh, despise dominion, and speak evil of dignities. 9 Yet Michael the archangel, when contending with the devil he disputed about the body of Moses, durst not bring against him a railing accusation, but said, The Lord rebuke thee. 10 But these speak evil of those things which they know not: but what they know naturally, as brute beasts, in those things they corrupt themselves.