Maybe, but it's very likely that the risk will be significantly lower than for unvaccinated people. And there was actually a CDC study a few days ago that confirmed that the vaccines prevent infection entirely, which would obviously stop transmission: https://www.bmj.com/content/373/bmj.n888

More so that wasn't the focus with the vaccines and it wasn't part of the testing.

Newer testing is showing a near complete stop of transmissions with vaccines. CDC is actively changing guidelines as these studies come out.

We also don't know how long the vaccine immunity lasts. I've been reluctant to get the vaccine because I've already had and recovered from COVID. Some people are telling me that immunity from having the virus may last only 90 days. If that's the case, why do we expect the vaccine immunity to last any longer?