No, this poem does not follow any strict rhythmical pattern. However, it tends to be more fast-moving and active towards anapestic meter and then slowly moving trochaic and iambic meters.
Throughout the poem, the poet uses two or more accented syllables in a row in order to speed up or slow down the rhythm when necessary, such as,
“Like a chain hauled over a gunwale”
This line follows anapestic metrical pattern, and the phrase the “chain hauled” slows down the speed of this line as it would take a little time to haul a chain. Then, again,
“And then she is at it again with a bunched clamor”
In this line anapestic meter is moving very fast as the daughter is typing very fast.