The key words in the OP are "biblical basis". This is a hot button topic for me. It's what started me down the path to awakening. Answer: Yes. Jesus' words have already been quoted. But also see 1 Cor 7:10-17.
Now, something I recently caught in Jesus words:
“Why then,” they asked, “did Moses command that a man give his wife a certificate of divorce and send her away?” Jesus replied, “Moses permitted you to divorce your wives because your hearts were hard. But it was not this way from the beginning. I tell you that anyone who divorces his wife, except for sexual immorality, and marries another woman commits adultery.”
Why did Jesus put the blame on Moses? The was part of the Law that GOD gave Moses. I have not researched this, yet, but it seems to me something is amiss here.