Time alone cannot heal all wounds time is merely a fabrication of the human mind that we use to organize and decipher our lives. It is the realizations that we make and the experiences we have along with the comforting idea of time's guiding hand that allows the blood to clot and the skin to renew itself.
There is not a single guarantee about what lies ahead. The dependence on time allows for these assumptions to be made. Simply take down the clock from your mental wall and you may be infinite.