Is post-quantum Oblivious Transfer possible If I’m not mistaken classical OT is not regarded quanum-safe. However I’ve been reading (not really understanding) some papers [1,2] and some reviews[3] on quantum OT and/or post-quantum OT, it seems to be possible. 

I do have an engineering background, so that’s the reason why I don’t get quantum cryptography papers. 

Can you please explain briefly in layman (engineer) terms if and how post-quantum OT is possible?

[1] https://www.computer.org/csdl/proceedings/phycmp/1994/6715/00/00363696.pdf

[2] http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.650.385&amp;rep=rep1&amp;type=pdf

[3] https://www.quantiki.org/wiki/oblivious-transfer
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

Lattice-based: https://eprint.iacr.org/2018/530

There are also some constructions for OT ,secure in the Universally Composable framework and based on post-quantum assumptions, such as 

https://link.springer.com/chapter/10.1007/978-3-319-12280-9_10

based on the LPN assumption, and the ones that can be instantiated using the frameworks of: 

https://eprint.iacr.org/2007/348.pdf

and 

https://eprint.iacr.org/2017/993.pdf

using post-quantum encryption schemes.