Yes. Somebody calls "Absolute geometry" the set of propositions that are provable without the $5$-th postulate.
IMHO this is an because it seems less obvious than the others, at least as we learnt at school the version "In a plane given a line and a point outside the line, there exists one and only one line passing through the given point and parallel to the given line".
Which is honestly quite hard to understand because it implies an impossible infinite producing of the parallel line to "verify" it does not intersect the given one.
But Euclid does not use these words! He says, very smartly here
"Let the following be postulated: [...]
- That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two
straight lines, if produced indefinitely, meet on that side on which
are the angles less than the two right angles."
This is much easier to digest: at least the producing stops at a certain point.
Hope it is useful