A play in verse, or a verse drama, is a drama written in such a fashion so as to be spoken. The verse drama typically focuses upon tragedy and the seriousness of the tragedy. These works are intended to be performed upon the stage and are written in whole, or in majority, in verse form. (A verse is a text which is written in metrical form and, typically, contains rhyme.)
Therefore, based upon this very specific definition, Frost's poem "Home Burial" cannot be deemed a "play in verse" or a verse drama.
That being said, one could dissect the definition and provide justification to force the poem to adhere to the definition of the verse drama.
For example, one could justify that the poem contains elements of a drama--there is dialogue and action.The poem also contains elements of seriousness and tragedy.
He saw her from the bottom of the stairs
Before she saw him. She was starting down,
Looking back over her shoulder at some fear.
Unfortunately, the poem does not contain a true metrical form or contain rhyme.
Therefore, the poem "Home Burial" could be defined as a verse drama, but only in a limited fashion.