Bible prophecy shows that before Christ returns, sacrifices will begin again in a holy place (and that a world-dominating religious authority will stop them). Christ prophesied that "the 'abomination of desolation,' spoken of by Daniel the prophet, [would be] standing in the holy place" (Matthew 24:15 Matthew 24:15When you therefore shall see the abomination of desolation, spoken of by Daniel the prophet, stand in the holy place, (whoever reads, let him understand:)
American King James Version×). He was referring to Daniel 11:31 Daniel 11:31And arms shall stand on his part, and they shall pollute the sanctuary of strength, and shall take away the daily sacrifice, and they shall place the abomination that makes desolate.
American King James Version×, which said: "Then they shall take away the daily sacrifices, and place there the abomination of desolation."
It's possible that religious Jews will rebuild the temple. But, surprisingly, offering sacrifices doesn't necessarily require the presence of a temple. See, for example, what the Jews did under the leadership of Ezra (Ezra 3:1-3 Ezra 3:1-3  And when the seventh month was come, and the children of Israel were in the cities, the people gathered themselves together as one man to Jerusalem.
 Then stood up Jeshua the son of Jozadak, and his brothers the priests, and Zerubbabel the son of Shealtiel, and his brothers, and built the altar of the God of Israel, to offer burnt offerings thereon, as it is written in the law of Moses the man of God.
 And they set the altar on his bases; for fear was on them because of the people of those countries: and they offered burnt offerings thereon to the LORD, even burnt offerings morning and evening.
American King James Version×). They simply set up an altar and began to offer sacrifices on it.
The apostle Paul did refer to "the man of sin," an actual person who claims to be God in the flesh sitting in the "temple of God" (2 Thessalonians 2:1-4 2 Thessalonians 2:1-4  Now we beseech you, brothers, by the coming of our Lord Jesus Christ, and by our gathering together to him,
 That you be not soon shaken in mind, or be troubled, neither by spirit, nor by word, nor by letter as from us, as that the day of Christ is at hand.
 Let no man deceive you by any means: for that day shall not come, except there come a falling away first, and that man of sin be revealed, the son of perdition;
 Who opposes and exalts himself above all that is called God, or that is worshipped; so that he as God sits in the temple of God, showing himself that he is God.
American King James Version×). If "temple of God" is to be taken literally here, then this would imply the temple will be rebuilt.
Where God does not provide full details, we simply have to wait to see what will happen. It's important to constantly watch how world events unfold in the context of Bible prophecy. This is what we strive to do in The Good News and World News and Prophecy.