This is a vital instruction, as Jesus was here to teach the way. Within this prayer to my understanding, I see instruction of how to:
1. Know where God is
2. Know His Name should be reverenced
3. Know there is a transformation from the kingdom within to an earthly existence
4. Acknowledge His giving our physical bodies our sustainable needs
5. Be aware of our falling short and need for forgiveness from Him and to others
6. Understand we are depended on God for direct us
7. Recognize God's way is the forever lasting and infinite way

Focusing on number 3, and the question Is the bible speaking of manifestation?

In understanding that there is a transformation and/or manifesting from heaven to earth, the question that comes next in my mind is where and what is Heaven?

Jesus clearly speaks saying the kingdom of heaven is within and that we (our bodies) are the living temples of God.
This says to me that God is not heaven otherwise as we He lives within heaven would be automatic. So again, then what is heaven?
So even as God lives in us(and remembering we ask not to be led into temptation but delivered), both heaven and hell can be the outcome of us. Yet a manifesting of heaven is the prayer.

I am thinking even as I am in need of forgiveness of sins, that heaven is the infinite vitality of life. The principals of life that show up in most all religions and spiritual teaching. Heaven is void of the lack of truth, light, love, understanding and care. Heaven is like a live wire of all vital principles. The infinite life flowing energy that can only be accessed through principles like truth and love.
So as we pray for thy kingdom come thy will be done we are praying for the manifestation of principled life on earth