Yes and no. The vaccines are by definition new and untested. That the blood clots appeared suggests that the unknown surface area of the vaccine is higher than we expected; whereas the almost all of the risk on your commute are known and preventable.
For example let's say the vaccine causes a side effect that appears only two years from now; then you wouldn't necessarily be correct in asserting that the morning commute is more dangerous. By contrast, the morning commute causing an unknown side effect in two years is highly unlikely.
The risks on your morning commute are not preventable by effort on your part. You can drive with care, but there is still substantial risk no matter what.
Unknown but remote risks with any vaccine are really quite substantially less dangerous than the known and quantifiable risk of your commute. We're talking like three orders of magnitude or more which leaves a lot of room for unknown risks.
For example let's say the vaccine causes a side effect that appears only two years from now; then you wouldn't necessarily be correct in asserting that the morning commute is more dangerous. By contrast, the morning commute causing an unknown side effect in two years is highly unlikely.
(For the record I'm vaccinated)