To jump the queue, especially in a forceful manner.
jump the queue
To receive preferential treatment.
take by storm
To seize, overpower, or captivate in a sudden and forceful manner.
push the envelope
To go beyond established limits; to pioneer.
push one's luck
To take an excessive risk or to attempt some task unlikely to succeed, …
push the boat out
To do something, especially spend money, more extravagantly than usual …
push on
To persist, persevere.