Is there a remote control trigger for Point and Shoot digital camera?
I searched the internet and notice that there are only remote control for DSLR camera and phones but not Point and Shoot digital camera.
Yes, there are. They are not in the majority because that function is more often associated with advanced users. Not sure what you are looking but if you search cameras which support wireless triggers, there are currently 17 compacts and 3 ultra-compacts.
If you search for wired-release, there are just 7 generally pricey compacts. Another option is to seek cameras with WiFi. Most WiFi cameras support releasing the shutter wirelessly but often have a good number of additional controls. Those include 23 ultra-compacts and 26 compacts at this time.
Note that the above links are live and will show the current cameras as they appear. Keep checking in a few months (say), if you do not find what you are looking for.