Yes, you can get a cartomancy reading for free online. But beware that most of these are from websites that use an automated system to draw and read your cards. The answers given are predefined and do not consider your current circumstances.
Additionally, automated online readers lack the psychic connection possessed by true cartomancers, which usually leads to a false or inaccurate reading.
Fortunately, several psychic sites with expert cartomancers offer live cartomancy readings. Some even provide you with free minutes so you can get an accurate reading without having to fork out a cent.