I doubt it.
For reasons I don't understand RLM was determined to build the BMW 801 radial engine no matter how long the development period or how great the cost. Mass production of Fw-190A powered by BMW801 engine was just beginning during 1941. RLM isn't going to start over with an new engine and airframe a year later.
If Ju-88 night fighter and Do-217 bomber are cancelled it will free up additional BMW801 engines which might result in some additional Fw-190As and/or Fw-190Fs being produced. There will also be a few more DB603 engines available plus a pile of additional Jumo 213 engines during 1944 and 1945.