auto insurance accident report

Can a car insurance company find out if there was an accident, if you do not report to the DMV / DPS?
I live in Texas, I was in a car accident a couple of months ago, I had full coverage so my current insurance company covered my car fixed. I never reported the accident to the DMV / DPS But now my insurance rose a lot, I have a month to renew with this company. I was thinking about switching companies if I can find one cheaper. If I call a new company and tell them they have noe car accidents before they are able to discover he had? Cause it's not on my driving record? Thanks
There are lots of places where you can get a free insurance quote. Http://www.simpleautoquotes.com/Auto-Insurance.html only takes a few minutes to do.
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