OTOH speculation without OoO Is not only possible but in fact very common. For example the majority of non ancient in-order CPUs.
In fact the original pentium, contrary to your statement, was an in-order design (the pentium pro was the first Intel OoO design). Also I believe that 486 already had branch prediction. Pentium claim to fame was being superscalar (i.e it could execute, in some cases two instructions per cycle), a better FPU and better pipelined ALU (I think it had a fully pipelined multiply for example).