Could my hamstring strain have progressed to sciatic nerve pain?

No: Hamstring strain and sciatica are two different conditions. Often patients with sciatica will think they have a hamstring strain and vice versa. See your physican or a musculoskeletal specialist if your pain persists beyond 2 weeks.

No Likely Sciatica: Sciatica is pain in the distribution of the leg as a result of an irritated nerve or facet joints or other injury typically in the lumbar spine (low back) which are caused by herniated disks, spinal stenosis or degenerative disc disease, etc requiring further evaluation by a spine specialist and may be candidate for facet injections/radiofrequency ablation and epidural steroid injection.

There is the : Possibility that what you thought initially was a hamstring injury was the way your sciatica first presented with just some leg pain with an injury. Otherwise, hamstring injuries do not evolve into a sciatica.