I will do it anyway

[navi tasan]

1-I will do it anyway.

Could this sentence ever mean "I will do it in any possible manner."?
To me it means:
I'll do it in spite of what was said.
I will do it in any case.

 

[riquecohen]

1-I will do it anyway.

Could this sentence ever mean "I will do it in any possible manner."? Yes, if it is written "I will do it any way."
To me it means:
I'll do it in spite of what was said.
I will do it in any case.

Your two interpretations are correct.