It’s technically cheating, you could work on trying to get into the transition itself which is possible to do without momentum. You can try incorporating L-Sit pull ups with to improve with strength with the Lats in a lengthened position as well as gain strength without using momentum. You can also work top to bottom of the muscle up focusing on the negative of the transition to help on improving that aspect.
I usually do a Push Pull Leg Split x 2 I do planche training and then my push workout which is pseudo planche pushups, handstand pushups, pike pushups. For pull I do muscleups pullups, bicep curls on one day and front lever training with pullups, bicep curls rows on the other pull day. For legs sometimes I go to the gym, but most days I usually do pistol squats, jumping squats, nordics, bulgerian split squats, and calve raises
From someone who is actively lifting, you absolutely can. Calisthenics is just using bodyweight to build muscle, but strength training (with weights) can assist you heavily in your strength gaining journey