Ok, let me get this straight, because the lines of longitude converge at the North Pole, you can't travel further north on the surface of the planet.
Got that!
Because a human being cannot travel on the surface of the planet any further north than the North Pole, it is analogous to why there is no time before the BB.
Yes!
Clearly not. Struggling to think of how better to explain.
We can treat the surface of a sphere is a 2-dimensional manifold with certain geometrical properties. It has constant positive curvature, for example, which means that the rules of geometry are somewhat different from a flat surface, like the internal angles of a triangle add up to
more than 180°.
GR treats the space-time as a 4-dimensional manifold, with even stranger geometry (even where it's 'flat'). Nevertheless, it is a manifold.
Latitude and longitude are a coordinate system we can use on a sphere (like Earth), but we are also free to use any other coordinate system. The coordinate system is not the manifold.
Each observer or frame of reference in the space-time manifold has a 'natural' coordinate system that is how they would see space and time. Generally speaking, different observers will have different natural coordinate systems. This happens even in 'flat' space-time, where relative motion results is a kind of 'rotation' of the two coordinate systems. This results in time dilation, length contraction, and the relativity of simultaneity. The latter meaning that there is no universal present and the traditional, intuitive, or Newtonian idea of time is dead.
Any space-time coordinate system can break down, and certain coordinates can terminate, on the space-time manifold, just as latitude and longitude can on the Earth's surface.
In cosmology, when considering the universe as a whole, we use a notional coordinate system that is based on a frame of reference that emerged from the BB and has experienced nothing but the expansion of space ever since.
According to GR, that frame's time dimension terminates about 14 billion years ago at the BB where there is a space-time singularity - which, unlike the Earth's North Pole, is a feature of the underlying manifold and at which all timelike past-pointing coordinates terminate.
I guess the main point is that we are dealing with a manifold which has a geometry, not space that just persists through (separate) time.