Which company please? [edit: Sorry should have specified: California. Anyone has an auto insurance company working quickly - or at all- in California currently?]
In most of the US, just about all of the large national direct-sales insurers operates sales 24/7 and will write you a policy in 20 minutes at 3am if you want: State Farm, GEICO, Progressive, Allstate, Liberty Mutual, Nationwide, Farmers, Travelers, etc.
Yes sorry, should have specified, in California? California is having this problem currently. I am also used to California auto insurance working fine and quickly but that's not the case currently.