Answer: Yes.

You are at risk for contracting an STD, regardless of which type of contraceptive you use.

“HPV (also known as Genital warts) is not preventable by any
contraceptive, including condoms.”
- From a Congressional Report by the U.S. Centers for Disease Control and Prevention 

Hormonal Contraceptives (birth control pills, shot, patch, ring)

• Do not prevent STD's
• Actually alter the female genital tract, increasing a woman's risk of contracting Chlamydia (a bacterial STD) and HIV

Barrier Contraceptives (condoms, diaphragm, cervical cap)

• Can increase vaginal infection, increasing STD risk
• People who use condoms have "safe" sex more often, increasing their risk of STD exposure

Centers for Disease Control and Prevention (2010).  The Role of STD Detection and Treatment in HIV Prevention - CDC Fact Sheet.  Retrieved from: http://www.cdc.gov/std/hiv/STDFact-STD-HIV.htm