Post-quantum oblivious transfer protocols are possible. If you base the security of the OT in a post-quantum assumption, this should give you an OT conjectured to be robust to quantum attackers. Besides the already mentioned OT based on supersingular isogeny (in comments), I can give you some other examples:
Code-based: https://eprint.iacr.org/2008/138.pdf , https://ieeexplore.ieee.org/document/6089575
There are also some constructions for OT ,secure in the Universally Composable framework and based on post-quantum assumptions, such as
based on the LPN assumption, and the ones that can be instantiated using the frameworks of:
using post-quantum encryption schemes.