No, the number four in Roman numerals is always written as "IV" and not as "IIII". The correct way to write the number four follows the principle of subtractive notation used in Roman numerals, where one smaller value is placed before a larger one to indicate subtraction.
Here's why "IV" is correct:
Using "IIII" would imply addition, which would incorrectly suggest the number 4 as 1 + 1 + 1 + 1.
The use of "IIII" on some old-fashioned clock faces is an exception and is done for aesthetic reasons to maintain visual consistency, but this is not considered standard for Roman numerals in other contexts.