Yes. Having had hep C once does not make you immune from getting it again. You can be reinfected with hep C whether you clear the virus by successful treatment (called a sustained virologic response, or SVR) or by spontaneously clearing it on your own.
The chance of being reinfected with hep C is much lower than the chance of a first-time infection. The risk of hep C reinfection is higher among those who are HIV positive, men who have sex with men (MSM) and active injection drug users.
The best way to avoid hep C reinfection is to avoid or reduce exposure. To learn more about hep C prevention and other issues related to the virus, click here.