Not the same kind of paper trail that exists when a voter fills out a paper ballot.
If I fill out a paper ballot, that ballot is independent evidence of the votes I intended to cast, because I filled it out directly, with no machine in the middle. So that paper ballot is a useful auditing mechanism for checking on machine-generated vote counts.
If I electronically cast votes on a machine, and the machine prints out a paper record of my ballot, unless I, the voter, leave some record that I inspected that piece of paper and agree that it reflects the votes I intended to cast, it's useless as an auditing mechanism. As far as I can tell, no such voter inspection record is made with electronic voting machines.