Technically most states allow drivers to post a surety bond as an alternative to purchasing a liability insurance policy. But in practice most people don't have enough cash available.
A bond also loses you the personal/medical liability protection of auto insurance. Very few people who do have enough money would drive with only a bond, as the risks are pretty extreme.
even if you have the cash, it’s very not smart
to do so. you need about a million or so in liability (almost all cases settle under $5mm). insurance is far cheaper.