Well all laptops have a battery that can be removed/replaced. However, how easy that can be done is a whole other issue.
If the laptop is under warranty still, then you don't want to be opening it up yourself. In that case contact the manufacturer about the issue.
Now if it isn't under warranty any longer then you can try the following and see if that gets it going again. Which would require opening it up to take out the battery.
Try the following and see if it will turn on...
1. First make sure the device has been charged.
2. Unplug your charger cord.
3. Remove the battery.
4. Press and hold the "Power" button for 30 seconds.
5. Now plug back in the power/charger cord.
6. Now put the battery back in.
If this doesn't help, then test the power cord to see if it is good. Either try your cord in another device, or try another devices cord in your laptop.
Should that not be the problem, then check the battery to see if it needs replacing.
Side Note: Your question asks about that kind of laptop, but then you didn't say what kind of laptop.

Either way I stand by what I put here, but for future reference, when asking about a specific device, it kind of helps to include the info about the device.