1 element lattice isn't possible. (Why?)
For 2 elements, only a chain is possible.
For 3 elements, only a chain is possible.
This is not a valid 3 element lattice. Because 2 $\leq$ 3 and 1$\leq$ 3 are both drawn. That should have been an implicit transitive edge => a chain.
For 4 elements, chain and diamond.