Were there any?
I'm thinking a layout more like a jet aircraft, with the engine in the rear and the cockpit more forward.
Cooling could be with a P-51 type radiator scoop.
The only one I know of is the Do335 and that was toward the end of the war with only about 20 having been delivered to combat units and it had a front puller engine in addition to the rear pusher.
others here may know of more
Most experimented with them.
America had the XP-54, 55 and 56, by Vultee, Curtiss, and Northrop. Japan had the Kyushu J7W. Italy had the Ambrosini SS.4. But Sweden is the only country that put a pusher fighter aircraft into service in the WW2 era. They later converted the same design to jet power.
Some of the pusher planes had schemes to jettison the prop before the pilot bailed out. I may be wrong but I believe the XP-56 had two turns of "det cord" around the reduction gear case on the engine to 'ensure' propeller separation.
Two pusher prop designs that never made it into operational usage might be the Curtiss XP-55 Ascender and the Japanese canard elevator Kawanishi Hein Shinden.
How about the Fokker D.XXIII...not strictly a pusher fighter but still an interesting and obscure find imho. One prototype flew prior to The Netherland being overrun by the Germans 1940.
Plane of such an layout with 2 x Jumo 210 or with two Kestrels would've been interesting addition for many airforces of pre/early WW2. The scaled up version with Merlin/DB601-603/Allison/Klimov makes a potent warbird.
Or replace front engine with 4 x 20mm (or a pair of 37/40mm), and rear engine with something around 1500HP, give or take 200 HP. Okay, we end up at Saab 21
Front engine fighter aircraft would receive 1,500+ hp engines at the same time. How would a rear engine fighter stack up compared to the Fw-190, F4U, Spitfire IX, Me-109G6 etc.?