No, my neuropathy does not act up when I finish walking. My neuropathy has been relatively mild. I have aches in the bottom of my feet, not too intense but I know it's there. My neuropathy was worse before 2012 when I had worse control of my blood sugar levels. I also had a loss of some sensation in my hands and arms covering me up to my elbow like a strange glove.
Maybe there are some meds that could help you. I've not tried any of them but I've seen them mentioned by other members. (I see you've talked about this issue in another thread.)
I think as long as you can walk and not hurt yourself losing your balance or other mechanical problem, then you're likely OK to do it. Do you still have "protective sensation" in your feet? If you get a little piece of gravel in your shoe, will you know it's there before it does too much damage?
I think nerves like the extra blood circulation that exercise brings but they definitely don't like high blood glucose.
Good luck with this. I hope you have access to good medical care. I've always had good experience with podiatrists.
Edited to add: When I regained control of my blood sugar in 2012, all the neuropathy in my arms disappeared and my legs and feet felt better but not fully.