Can you lay cerramic tiles ontop of other tiles

If you are asking about installing ceramic tiles over vinyl tiles or linoleum, then here is some information from http://www.floorstransformed.com/installnotes.html

Installing Tile Over Vinyl Or Linoleum Floor Coverings

Installing ceramic tile directly to vinyl or linoleum surfaces should be avoided whenever possible. Install at your own risk.

If you are concerned that your vinyl or linoleum flooring may contain asbestos fibers we recommend that you have it tested before attempting to remove it. For more information on asbestos, please refer to Asbestos In Your Home provided by the EPA.

In any case, vinyl or linoleum flooring must be a non-cushioned type and securely attached to the subfloor. Subfloor construction should consist of double layered, 1-1/8" thick, exterior grade plywood installed over floor joists spaced a maximum of 16" on center. The maximum allowable concentrated deflection of the subfloor may not exceed L/360 of the span.

If the floor covering does not contain asbestos fibers we recommend that the surface be scarified or sanded to provide a rougher surface for the thinset mortar to bond to.

Install ceramic tile using a latex modified thinset mortar approved by the manufacturer for installation over vinyl and linoleum surfaces.

You Can, As Long As There Isn't A Heigth Issue,
Before You Do You'd Need To Make Sure Your Floor Is In Good Shape , No Cracks On The Floor, If So They'll Come Right Through To The Next Floor,
And To Be Honest With You Pulling Up A Tile Floor Isn't All That Back, It May Have Lathe Underneath It And You Could Pull It Up Really Quickly, Now Concrete On The Other Hand Could Be A Pain If The Concrete Wasn't Sealed.