No, there are absolutely civil statutes of limitations, and as with criminal cases, they are jurisdictional (meaning that if you bust them for any reason, no matter what excuse you might have, you cannot pursue a claim). The only squishiness to them relates to the fact that in some instances the statute does not start to run until a triggering event has occurred which may be separate from the date the alleged wrong happened (e.g., in some states a medical malpractice claim brought for malpractice before patient turned 18 doesn't begin to run until she turns 18, and the statute on certain types of claims doesn't start to run until the plaintiff learns she has been wronged, which may be much later than the actual misconduct).