Suppose $P$ be a zero dimensional subscheme of length $m$ in $\mathbb{P}^3$ which is in linearly general position. Further assume that there is a degree $d$ form passing through $P$. Can $P$ satisfy Cayley-Bacharach property for $\mathcal{O}(d)$

I got the answer of the question. In fact it can satisfy Cayley-Bacharach. For example if we choose 8 points in rational cubic curve in linearly general position then it always satisfies C-B for $\mathcal{O}(2)$.