more info needed for a correct answer, my gut is no since the only way it would work is if your linoleum was on concrete or glued right on 1-1/4" subfloor with the required deflection strength and you scraped the linoleum off. most of the time linoleum is stuck to particle board which is incompatible with laying tile. this would mean setting your skill saw to somewhere just a hair over the height of the particle board, cutting stripes and crowbaring it up would be required before you could get at the subfloor and determine what you're working with. if you only have a 3/4" subfloor ditra will be required if you're wanting to do this correctly.
will tell you which variety is required based on your joist spacing
if you have a 1-1/4" subfloor you could use cement board but the reduced labor of using ditra along with the uncoupling factor really make it the way to go on tile installs if you can swing the expense.