If by logic gates you mean flip flops ... then it will depend.
On what will it depend? On your level of pedantics. Because depending on how pedantic you feel that day you may argue for or against it then still being a "clockless design".
If you want it to be really clockless, you cannot use a flipflop. What you could do is:
1) like TrickyDicky suggest use the routing delays.
or
2) use a transparant latch while making damn sure that you don't use any clock anywhere near that latch. That is the latch will just be a tiny delay element, no clocking.
If you need short delays you can place your elements close together on the die and just use routing. If you need somewhat longer delays you can use one or more latches. And you can also use carry chains.
Oh yeah and slap on a heat sink if your design takes up any significant portion of the fpga. Large amounts asynchronous logic == no longer igloo.