I don’t think simply having powers that effect Space and Time is enough to qualify for 4-D hax or such things.
In the simplest terms within the wiki it would be someone or something that can effect, create or destroy beings or things which are Low 2-C or above within our system.
“
Low 2-C: Universe level+
Characters who are capable of significantly affecting, creating and/or destroying an area of space that is qualitatively larger than an infinitely-sized 3-dimensional space. Common fictional examples of spaces representing such sizes are
space-time continuums (the entire past, present and future of 3-dimensional space) of a universal scale. However, it can be more generally fulfilled by any 4-dimensional space that is either:
A) Equivalent to a
large extra dimensional space. That is, a higher-dimensional "bulk" space which embeds lower-dimensional ones (Such as our universe) as subsets of itself, whose dimensions are not
microscopic / compactified.
B) Portrayed as completely transcending lower-dimensional objects and spaces in the setting of a given work of fiction.”