Welcome @DrTaDa
HTM ≠ NuPIC (I don’t use NuPIC, but I think it includes only Spatial Pooler and basic Temporal Memory algorithms)
As @sheiser1 says there is a Numenta algorithm which models a cell population with apical input. This algorithm, originally called Extended Temporal Memory, was used in the experiment on which the “columns paper” is based, and also for “Untangling Sequences: Behavior vs. External Causes” (preprint). Perhaps, in your thought experiment, the prediction without visual input (an “external cause”) could be produced by the “behavior” of imagining the movement?
A HTM-scheme version of the “untangling sequences” experiment is an attempt at a HTM-style model with more or less biologically-plausible parameters (cell and minicolumn numbers and connections).