No. The PS3 parental controls can limit what children can watch or play, but not when, or for how long. Even the Nintendo Wii doesn't have time-based parental control or monitoring. Theirs is basically the same as the PS3s. The console manufacturers generally believe that there is no substitute for adult supervision when it comes to how children spend their time on any activity at home. The console manufacturers provide content controls because it protects them from liability if children access games or videos that are intended for older viewers. The console manufacturers have never been held liable in the case where children are spending too much time playing video games, probably because there is no widely-accepted standard for how much is too much.
xbox 360 can. . .
Actually, the Wii does have time-based monitoring. Check the menu's calendar, and you'll find it lists everything you played for how long on any day you turned the system on. It may not have time-based control, but the time monitoring still makes a parent's job a little easier (assuming they care to begin with).
The Wii does keep a log of activity on the console, but the Wii doesn't support multiple user accounts, so it can't attribute the activty to anyone in particular. If only one child uses the console then the log would be useful for monitoring, but Nintendo doesn't consider the log to be a parental control feature.