That wouldn't make sense given The Borg was using that network for centuries. Also, the only reason The Borg didn't hit Earth sooner is they weren't aware. Though that even gets a bit messy given First Contact and that episode of Enterprise.
The enterprise episode actually states that the Borg ship sent out a sub space message to the delta quadrant and that it would take around 200 years to get there. The message contained a series of pulsar locations giving a star map location for earth.
It does make some sense then for the Borg to receive the message and proceed towards earth and attack and assimilate earth and romulin outposts in an attempt to gain information about the alpha quadrant.