We can't deduce that, no, since we can't only compare the fatality rates among vaccinated and unvaccinated groups without taking into account other variables such as age, pre-existing conditions or lack thereof, etc.
For instance, in the previous two months, some statistics showed that the elderly were more likely to be vaccinated than younger adults:
Youngest adults are least likely to be vaccinated, and their interest in shots is declining, CDC finds
The 4 main fault lines that divide the vaccinated and the unvaccinated
Comparing the fatality rate of young unvaccinated adults with, say, vaccinated seniors aged 70 to 80 would paint an inaccurate picture, since the latter group are far more likely to have pre-existing conditions and poorer health in general due to age. Similarly, comparing the fatality rate of unvaccinated people who are 40-50 years old without pre-existing conditions to the fatality rate of those who are vaccinated in the 70-80 age range but with one or more pre-existing conditions is unlikely to accurately portray the situation either.
Analyzing statistics requires one to look at all variables involved before drawing any conclusions. If you want to compare the fatality rates of vaccinated and unvaccinated people, you need to make sure other variables don't heavily skew the results one way or another. I'd expect that a lot of the people who are most vulnerable to the virus, such as elderly and immunocompromised people, have already gotten vaccinated, which means the fatality rates among vaccinated people would include them. Meanwhile, a lot of the people who are still unvaccinated are younger and therefore less likely to die of COVID.
In a nutshell, your deduction would be correct if and only if we had absolutely no variables influencing the fatality rate among vaccinated and unvaccinated people except vaccination itself. The comparison would then be between two almost identical groups with only one difference (vaccination status). But as it stands, the deduction is incorrect because it doesn't take into account the variation among vaccinated and unvaccinated demographics as well as factors such as pre-existing conditions, age, etc.