Deleting/sending to trash files with Python
There are some things that can be improved here


Divide your code into functions, don't put everything in the global namespace!
Use a if __name__ == '__main__' guard.
It's not bad to give your code a little more space in the sake of readability, a few blank lines would help make this code look better. 

Read PEP8#blank-lines for more details.
Don't use == or is for False, True comparison

See PEP8#programming-recommendations.


while os.path.exists(file) is False:



You can rewrite to a more idomatic while not os.path.exists(file):
Naming is important


file = input("Type the file path")



This is a path, so rename it to path = ...


for i, j, k in os.walk(file):



You could name those to what they represent:

for folder, subfolder, files in os.walk(path):