As helpful as COVID vaccines currently are, they do not work as anti-COVID drugs and the newer variants of concerns that spread may also lower the efficacy rates of the vaccines. So, there is very much a possibility that you can catch coronavirus, after being vaccinated, and hence, no complacencies should be entertained.
However, do remember that these infections, or breakthrough cases, as they are called, are still rarer in numbers. So, even if there is a real risk of the virus causing infections, the risk is on the lower side. As data as suggested, different vaccines carry a different risk of breakthrough infections and symptomatic risks.