Typically, any accident, regardless of fault or whether you were under the influence of drink or drugs, is covered up to the limits of your policy. This includes your car as well as the property and injury of others. But it’s not guaranteed. Some insurers may refuse to pay your claim.
The information in this answer is general in nature and is not legal or insurance advice for your specific situation. Policy language varies carrier by carrier; your declarations page is the final word. If you're unsure, call your agent before you need to file.