I need a Python program that will only print "Possible" if a string is a lowercase, printable, ASCII alphanumeric string. Is that something you could write for me?
Of course. Here is a program that will accept a string and output "Possible" if it fits the criteria:

# Accept a string
mystring = input("Enter a string: ")

# Print "Possible" if all criteria are met
if mystring.islower() == True and mystring.isprintable() == True and mystring.isalnum() == True and mystring.isascii() == True:
    print("Possible")

The `input()` method accepts input as a string. The `if` statement tests if the string is lower with `.islower()`, printable with `.isprintable()`, alphanumeric with `.isalnum()`, and ASCII with `.isascii()`, joining all the methods with `and`. If all values are True, the `print()` function will output "Possible".