What is the name of the Band or artist who sings the song called "A place where you and I know"?

This may not be right, but my first thought was that it was the song "Escape" by Hoobastank. Diomhair's guess is probably the one you were thinking of.

"Escape"

Another day goes without any change

The feeling we live with still remains

We're stuck in a hole and we're searching for anything to hold onto

There has to be somewhere that we can be safe from the lives we live each day

There has to be somewhere that we can be far away...

We have to escape and I will go anywhere if you just lead the way

Escape to a place where we'll be together, together everyday

We have to escape....

We could be living how we wanted to

Instead of doing things we're forced to do

With no one to tell us that we should be going throughwhat they went through

There has to be some place that nobody knows, somewhere we can only go

There has to be some place that we can be all alone....

We have to escape...

That sounds like Keane's song "Somewhere Only We Know." The lyrics are linked below.

[Edited to add:] You can listen to a sample of the song at the Amazon link below.