Floating Volleyball sounds like it'd be a "hoot"...
No, thrust is suspended until we execute the Trans-Lunar Insertion.
We are currently under rotation, which provides about a third of normal gravity.
When we go TLI, we will slowly increase to point six-six, and do a slow burn to take us out of Earth orbit toward the Moon.
However, we plan to slip past the Moon, using it only as a means of changing direction.
We are currently doing calculations to determine reaction mass consumed versus remaining. No sense going further unless we know we can get there.
In the worst case, insufficient fuel, we would detach some scoop ships to scavenge some Earth atmosphere for us to use as reaction mass, but it is unlikely to be necessary. We just like to be extra careful. Babies and babes on board, you know!