Jehovah's Witnesses have an interesting perspective on this question because they believe the signs of Christ's presence (Matthew 24:7-14) are already visible.
JWs don't believe we can literally "speed up" the end of this system of things, because the Father already knows when it will be (Matthew 24:36). However, they still pray for God's Kingdom to come. Jesus commanded us to pray for God's Kingdom by including it in the model prayer:
Matthew 6:9-13 (NWT)
9 “You must pray, then, this way:
“‘Our Father in the heavens, let your name be sanctified. 10 Let your Kingdom come. Let your will take place, as in heaven, also on earth. 11 Give us today our bread for this day; 12 and forgive us our debts, as we also have forgiven our debtors. 13 And do not bring us into temptation, but deliver us from the wicked one.’
But then, why do JWs pray for God's Kingdom to come? Here's the answer:
Why pray for God’s Kingdom to come?
God’s Kingdom is a heavenly government. Jesus told his followers to pray for it to come because it will restore righteousness and peace to the earth. No human government can completely eliminate violence, injustice, or disease, but God’s Kingdom can and will. God has chosen his Son, Jesus, to be King of the Kingdom. Jehovah has also chosen a group of Jesus’ followers to be associate rulers with Jesus in the Kingdom.—Read Luke 11:2; 22:28-30.
Soon, God’s Kingdom will take action against all opposers of God’s rule. So the prayer for God’s Kingdom to come is a request for God’s government to replace all human governments.—Read Daniel 7:13, 14; Revelation 11:15, 18.
Why will God’s Kingdom benefit people?
Jesus is an ideal King because he is compassionate. As God’s Son, he also has the power to provide help for all who cry to God for aid.—Read Psalm 72:8, 12-14.
God’s Kingdom will benefit all who sincerely pray for it to come and who bring their lives into harmony with God’s will. You will never regret learning what the Bible says about God’s Kingdom.—Read Luke 18:16, 17; John 4:23.