Can the introduction take this form -

First of all, what is cleanliness?
According to Miriam Webster's dictionary, cleanliness is the property of being habitually clean and having good hygiene. Cleanliness has a lot to do with safe and healthy living

This is the correct definition of "cleanliness"

So does this mean the introduction is acceptable

There's no way to tell unless you have already written the rest of the paper. Read and follow directions here:

http://lklivingston.tripod.com/essay/
Notice that the introduction is not to be written first.

To answer your question about the form of the introduction, it can certainly take the form you've provided. It's a common practice to begin an introduction by defining or explaining the concept being discussed. In this case, you start with the question "First of all, what is cleanliness?" and follow it up with a definition from Miriam Webster's dictionary.

Defining key terms at the outset of an introduction is a helpful strategy because it ensures that everyone is on the same page and understands the topic being discussed. It also provides a starting point for further exploration. In this case, by defining cleanliness as "the property of being habitually clean and having good hygiene," you establish a baseline understanding of the term.

Moving on, you mention that cleanliness has a lot to do with safe and healthy living. This connects the concept of cleanliness to its broader implications, highlighting its importance beyond just surface-level tidiness. When introducing a topic, it can be effective to provide a sense of its significance and relevance, which you accomplished by mentioning its relationship to safe and healthy living.

Overall, your introduction effectively introduces the concept of cleanliness, providing a definition and discussing its importance in relation to safe and healthy living.