Pfft! Don't be a wimp! Get on your horse!
I had my wisdom teeth removed and was back on the horse (at a walk), despite being on pain meds. When I broke my foot and strained all sorts of ligaments, I did cut back on riding but I still rode. I'm still gimpy, but riding is acting as physical therapy - I don't have full range of motion back yet, so getting my heels down and stretching everything out is good for me. My physical therapy is all stretch exercises to get that flexibility back.
If you can ride safely, on a safe horse, and if you think the risk of injury is low or acceptable to you, then yes. I rode without stirrups on my left side for months, but it was on my safest horse. It really depends on the horse, the degree of injury, and your comfort levels.
I find being injured super depressing so I need to ride for my mental health. Even if I'm not weight bearing on one foot. Yes you can mount with only one good leg, if you use a truck bed, crutches, and are careful. It helps if you have someone hold the horse steady. Dismount and land on one leg. Totally possible.
You do need to schedule down time and rest days. Give it time to heal. Riding was always easier and more comfortable than walking with my injury. I'm still in comfy sneakers with orthotics. No boots for many months to come, I'm afraid.