Magnetic Resonance Elastography (MRE) is a valuable technique to quantitatively characterize mechanical properties of tissues based on the properties of shear waves propagation. In this study, a radial acquisition MRE sequence potentially able to quantify viscoelastic parameters of tissues whose T2 values are very short is proposed. To this end, an optimal control-based RF pulse is applied with a constant gradient during the mechanical excitation to simultaneously perform spatially selective excitation and motion encoding. Acquisition is started right after, enabling a very short TE. Results on phantom experiments demonstrated the feasibility of our ultra-short echo time MRE technique.