Link between Combinational Logic and Sequential Logic
No, you can not translate a (nontrivial) circuit that has memory to a combinatorial (feedback-less) circuit. 

The outputs of a combinatorial circuit are by definition a function of its inputs (and nothing else).

Take the simplest non-combinatorial circuit: the Set-Rest memory cell (two cross-couples NANDS or NORS). When the inputs have the 'remember' value the outputs are a function of the past. This is simply not possible with any combinatorial circuit.