Re: As a Conservative,
Probably not, districts like that are what the 'compactness' algorithm tries to avoid if at all possible - though you might end up with a few of those since you can probably can't make every district nice and square especially in states that have wonky borders like some of those out east.
New York (where your example is from) permits gerrymandering, though the courts restrict how bad it can be. Some states allow essentially unlimited gerrymandering, and there are districts that connect multiple big cities (skipping their suburbs) by having narrow corridors along interstates so they can put all the black people into one district and dilute their voting power.