Sidenote anarcho-capitalism is not related to anarchism. If anything its on the most opossite spectrum. Where anarchism general goal is dissolving hiearchies/power/authority. Anarcho-capitalism goal is creating pure unrestricted capitalism system with single master hiearchy/power/authority - money.
If he is truly anarcho-capitalist he should be ok with people having abortions. As long they can pay for it.
In broad strokes the libertarian split on abortion comes down to the right of the unborn child vs. the right of the mother. A very rich vein of debate.