No.
For most states, the only crime where there is no SOL is murder.
Many states have recently added crimes like rape. That's probably because DNA evidence makes it possible to catch people decades later, and it is infuriating to get a cold hit on rape cases for which the SOL has run out. Cold case squads will often re-open old rape cases as the SOL approaches for one last go at it.
Misdemeanors do not have a SOL of 6-7 years. More like 1 year.
http://law.findlaw.com/state-laws/cr...f-limitations/
I expect to hear about a lot more crimes in this thread now. Felonies only please.