hahah thats funny. what your asking is basically, can i overclock my 1080p hdtv to 4k. you cannot add more pixels to your monitor.
are you asking about the refresh rate? most monitors 60hz monitors can be overclocked to at least 65hz, many much higher. but to be honest its not worth it unless there is clear evidence that said monitor model number is known to continue to be stable at a higher refresh rate without burning up the internals.