Oblivious transfer impossible from noiseless channels
Information theoretic OT cannot be achieved because OT can compute any function in a two party setting, that is, OT is complete (meaning, it is among the hardest problems in its complexity class)  as shown by Kilian[0]. We know that there are functions that cannot be information theoretic securely in a two party setting[1]. Hence, information theoretic OT is impossible.
[0] https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.92.9265&amp;rep=rep1&amp;type=pdf
[1] https://eprint.iacr.org/2006/183.pdf