moltenmetal is correct, neither PEEK or (solid) PTFE are elastomers, they are thermoplastic polymers.
PEEK has excellent mechanical strength, high temperature capability, chemical compatibility, and wear resistance. PTFE has excellent low/high temperature capability, low friction properties, and is chemically inert. Both materials can be fabricated by machining or molding. PEEK is usually more expensive than PTFE on a $/lb raw material cost basis, but most seal applications would require modest amounts of material if molding is used to fabricate the seal element. For high-performance seal applications the raw material cost difference should not be a major concern. But for a high-volume, low-cost product application I could see where it might be an issue.
For a dynamic seal application, where pressures are not too high, PTFE might be a good choice since it has excellent friction and conformability characteristics. One especially nice thing about a PTFE seal running against a metal surface is that over time a layer of PTFE is transferred to the metal surface, which results in a PTFE-on-PTFE contact with very low friction and leakage. The one major limitation of using unfilled PTFE for pressure sealing is that it has a tendency to cold-flow when exposed to sustained pressure over long periods of time.
The OP seemed to imply that the material was intended for some type of sealing application, but did not provide any details. So it's hard to say which material - PTFE or PEEK - might be a better choice for this particular situation. Maybe JeffreyHo can provide more details of his design.