The Very Large Acceptance compact Storage Ring (VLA-cSR) within compact STorage ring for Accelerator Research and Technology cSTART is a test facility for the application of novel acceleration techniques and diagnostics. The goal is to demonstrate storing the beam of a Laser Plasma Accelerator (LPA) for the first time in a compact circular accelerator. Before installing a LPA, the linear accelerator FLUTE will serve as a full energy injector for the compact storage ring, providing stable bunches with a length of a few femtoseconds. The transport of the bunches from FLUTE to the storage ring requires a transfer line which includes horizontal, vertical and coupled deflections which leads to coupling of the dynamics in the two transverse planes. In order to conserve the ultra-short bunch length during the transport, the transfer line relies on special optics which invokes high and negative dispersion. This contribution presents dynamic aperture studies based on six-dimensional tracking through the lattice of the transfer line.