I think so. All evidence points to systemic infection being rarer in vaccinated people.
Probably once the initial rush of antibodies dissipates, the virus can get a foothold in the sinuses easy enough. But most the time the immune system will squash it without much trouble.
My feeling so far seems if you think of infection as a continuum then vaccines probably reduce detectable by PCR infection by 2/3rds. Symptomatic illness by 8 to 1. And serious illness by 30 to 1.
But the risk from community spread can be high enough to overwhelm those odds. Where I live case rates are 25 higher than they were 8 weeks ago.