If you are using it as a title for some one yes, if not then no.
Option D. He wants to arrive on time.
It is the only option that has subject and predicate.
What happens with the other options.
A) There is no predicate, so you do not know what happen with the Four baby dogs wadding down the path.
B) There is no subject. Who walked the dog?
C) The funniest part of the comedy show ... clearly is also incomplete, you do not know even if this is a subject or a predicate, depends on what you wanted to say.
D)a delay in carrying out a sentence
All the sentences in a paragraph should be unified and coherent.
Answer: sentences
From the topic sentence to the concluding sentence, they need to be unified and coherent for the writer to truly get their point across as it was intended.
Hope this helps! :)