YES.
A strange thing can happen when you get to your 30's and are not blessed with babies...
My beautiful girls (white shepherds) both died in my arms. They were sisters and one died in 2000 (already off work for illness). The other had been unwell, but still had a great quality of life. My husband called me at work and noted that he thought she was "fading". I handed off my patients, left work (and yes they knew why!) and went to be with my "baby" - she died in my arms a couple of hours after I got home. If I had waited, she would have died and I'd have missed being with her. I took off 2 additional days! But, everyone understood and it was my PTO.
Now I have "cat children" and I have rearranged my schedule to allow me or my husband to be with them if they are ill. But, I would call out without hesitation if I needed to be with them