我也不是心理学本科 我也不知道 是不是完全不可能
不过我强烈推荐你决定前 看一看 insider's guide to graduate programs in clinical and counseling psychology
用作者的话 就是 help you make informed decisions
go search website of CUHK,
They have a post-graduate dipoma for psychology , that will provide the non-psychology major basic course which you didn't learn in your college.
After the one year study in CUHK, you could try to apply for related higher psychology degree , however, you need many practice and intern ,work experience during the study before you could apply.