Is there a closed subscheme $D$ in $\mathbb P^2_{\mathbb C}$ pure of codimension one such that, for all algebraic varieties $X$ over $\mathbb C$, any analytic map

$$ \phi: X(\mathbb C) \to \mathbb P^2(\mathbb C) - D(\mathbb C)$$

algebraizes? (That is, is there a morphism $f:X\to \mathbb P^2_{\mathbb C}- D$ whose analytification is $\phi$?)