import re

def is_valid_variable_name(variable_name: str) -> bool:
    # Check if the length of the variable name exceeds 255 characters
    if len(variable_name) > 255:
        return False
    
    # Regular expression to match valid JavaScript variable names
    # It ensures the variable starts with a letter, underscore, or dollar sign
    # and is followed by letters, numbers, underscores, or dollar signs.
    pattern = r'^[a-zA-Z_$][a-zA-Z0-9_$]*$'
    
    # Match the pattern with the variable_name
    if re.match(pattern, variable_name):
        return True
    else:
        return False