Yes Liberty Mutual does have earthquake insurance.
I have earthquake insurance through Liberty Mutual and although I haven't had to use the earthquake insurance yet and hopefully never will Liberty Mutual has been a great insurance company for both the earthquake insurance and homeowners insurance as well as my auto insurance.
I have my homeowners insurance, earthquake insurance and auto insurance bundled together with Liberty Mutual and I get a discount for having all the insurance bundled together using one company.
The customer service with Liberty Mutual has been great so far and they have been very friendly over the phone and very helpful as well.
Many other insurance companies have earthquake insurance as well so I would recommend shopping around and getting quotes from more than one insurance company for your earthquake insurance.
But I would recommend Liberty Mutual Insurance for earthquake insurance as well as other insurance but it's still good to get insurance quotes.