How can I squeeze video of certain length into smaller length For example how to turn 1:03 video into 1:00 without cutting anything. Can I do it on any mobile video editor?
This is generally done by retiming the video. Usually, if you're retiming by anything other than double or half, you need to use a professional application such as Final Cut Pro X or Premiere. They will have options for doing the speeding up in a number of different ways such as "Frame Blending" or using "Optical Flow". 

For mobile, a quick search with these terms "app to speed up video iPhone" shows a number of results.