Is there a correct way of writing Chinese?

Yes, there is a correct way of writing Chinese characters.  In order to look up a Chinese character, you must know stroke order and the number of strokes in a particular Chinese character.  To give an example, let’s look at the Chinese character below that means:  polispecialistico colombo mejor viagra casera salt research paper go to link business plans for small businesses essay about family of rizal best school papers assistance soft gel viagra tablets cialis corvallis cialis glendive pastillas para disfuncion erectil cialis go source reflective essay on the apa formatted paper example current dosing protocol for cials sample development communication thesis source importance of learning languages essay here essay about culture and tourism go site intermediate 2nd year physics question paper 2011 prednisone cheep no prescription ejaculatio praecox sildenafil the lodger essay everlasting or eternal.   It takes 5 strokes to write this character!

This character shows the correct order as well is the correct stroke order.  So the correct order is always top to bottom, and left to right.  This character also shows all the strokes of Chinese calligraphy.

There are a group of 214 Chinese characters called Radicals that are the building characters or root components.

You can not use a traditional Chinese dictionary without knowing the correct stroke order!

Here is a page below from one of my many Chinese books.