No, to exceed negative critical AOA from inverted you must push.
There is just no way I can see getting a C152 to spin inverted without completely bizarre pro inverted spin control inputs....even a crossover spin would require full forward stick and I suspect you be more likely to rip the wings off in an inverted dive before reaching/exceeding the required AOA.
I used to get perverse enjoyment inverted spinning Decathlons....they do them really well...they're a lot more violent than an upright spin but in the Decathlon completely straight forward to enter and exit.
Have done a few in Pitts and found it very interesting that you can see the horizon over the top wing inverted and normal spinning...the difference as pointed at to me was inverted spinning you're hanging in your straps and can see the point about which you're spinning...a difference which in the heat of the moment has not been evident to some with fatal results....apparently.