Yes, no machines:
- Squats
- Lunges
- Deadlifts (not too heavy; there’s a recent podcast mention of this on the return)
- Step Ups (the height of your pedal stroke)
- Standing calf raises (single leg if you can do it; holding weights even better)
- Box jumps
Btw: I weigh 68Kg and years ago used to do sets of 10 x 150-200Kg on a leg press machine and learned what a mistake that was (the joint issues you mention). As I found out, you will be able to squat about 1/2 of that with a non-constrained barbell and get stronger. You can also start by using a smith rack (holds the barbell in horizontal alignment) until you get your form down well.