You can pay a fee to expedite processing of the petition by USCIS but the foreign worker still will not be able to start working in H-1B status until October 1.

FORBES: Immigration On A Very Fast Track: The Race For H-1B Visas

We are doing everything in our power to expedite the processing of these applications in a program that's been successful, again, for consumers, dealers, manufacturers and workers.

WHITEHOUSE: Press Briefing

According to a Pakistani government spokesman, both Pakistani leaders urged the British authorities to expedite visa-processing applications.

BBC: UK to cut Pakistanis' visa wait