- Tag results for Brexit referendum
Amber Rudd, the work and pensions minister, said there could be a "plausible argument" for holding another referendum if MPs reject Prime Minister Theresa May's Brexit deal.
Most of the party's half a million members voted in 2016 to remain in the EU, but many of its 257 lawmakers represent areas that supported Brexit.
Khan warned that with the UK due to leave the EU in six months, by March 2019, it now faced either a "bad deal" or "no deal".
May has repeatedly ruled out holding a second referendum following the vote two years ago to leave the EU.
Cambridge Analytica had earlier claimed that it has erased the data from the public domain.