Yes, it will. For the successful re-establishment procedure , target cell should be prepared. As part of handover either X2 or S1-AP, target first prepares resource for UE and then only source eNodeB sends RRC connection reconfiguration message to UE. In that case if handover gets failed and re-establishment (due to HO failure) reaches at the target cell or back to source cell, it will be handled.
As per my understanding, If UE sends re-establishment request message to other than these two cells, re-establishment procedure fails for that UE.
Looking for others to respond.