You wish, but the reality says no.
In the paper they look at 14, 20, and 32 bit elliptic curves. The corresponding weights storage is 2
13, 2
13.5, 2
14.2. Theoretically the storage would be in the order of 2
7, 2
10, and 2
16. So all looks good, no breakthrough.
To even learn the secp256k1 weights you'd need at least 2
128 examples. Good luck executing that.