Yes! It is a recognised literary device in poetry known as enjambment.

It can be found in many famous English poems, for example:

"Who poverty and tatters and hollow-eyed and high sat up smoking in the supernatural darkness of cold-water flats floating across the tops of cities contemplating jazz..."
-"Howl" by Allen Ginsberg

Yes! Many famous English poems use long meandering sentences that ought to be broken up by punctuation to create a breathless 'stream of consciousness' effect. For example:

"Who poverty and tatters and hollow-eyed and high sat up smoking in the supernatural darkness of cold-water flats floating across the tops of cities contemplating jazz..."
-"Howl" by Allen Ginsberg

Further, a recognised literary device in poetry known as enjambment, where a line of the poem ends mid-sentence from a grammatical point of view, can create run-ons. For example:

"Was it for this
That one, the fairest of all rivers, loved
To blend his murmurs with my nurse's song,
And from his alder shades and rocky falls,
And from his fords and shallows, sent a voice
That flowed along my dreams?"
-"The Prelude" by William Wordsworth