This should sort you out. see the comments in the code. I will be happy to provide further explanation if need be
user_numbers_list = [] #initialise the list
Counter = 0
for i in range(len(user_words_refined)):
user_words_numbers = (ord(user_words_refined[Counter]))
user_numbers_list.append(user_words_numbers) #add to the end of the list
print(user_numbers_list)
Counter += 1
The best bet is actually list comprehension... see Jordan Lewis's answer for a neater approach