Connecting a non-wi-fi HP laserjet 2430tn printer to my router

> [...] Can this be dome with/through my current Nighthawk router? [...]

   I'd expect so, but, with my weak psychic powers, I have approximately
no idea what your (unspecified) "my current Nighthawk router" might be.
Has it a model number?  Look for "Model" on the product label.

   With that datum in hand, visit http://netgear.com/support , put in
your model number, and look for Documentation.  Get the User Manual (at
least).  Read.

> [...] If so, how? [...]

   I'd try an Ethernet cable.  I'd also visit hp.com, and fetch the
documentation for your printer (and read it).