I have a mesh but with one dimension significantly larger than the other 2 dimensions. Is it possible to scale down this dimension for viewing of the mesh with ABAQUS/CAE?

No it is not possible to scale down for viewing in ABAQUS/CAE. However one could import the part and write out a ABAQUS input file and then use the Fortran program listed for Q4.3. Then scale down the dimension in question.
Then read in the input file using File --> Import --> Model.