Can I get a permanent replacement for a wisdom tooth?

Wisdom teeth should always be removed.  It is debatable, even among dentists, but the fact is that access to keep them clean is always a problem, and gets much worse as we age.  We heal much better and more predictabley at a young age, so the sooner they are out, the better.Even if there is "room", there really isn't.  Odds are that a dentist would have zero access to restore (filling or crown) and even LESS room to place an implant.  Even if an implant got placed, restoring it (placing a crown) would be VERY difficult.And if a dentist took on the challenge, the fee would be HUGE due to the difficulty.

That's a good question. Implants get placed as far back as wisdom tooth position or even further back (zygomatic implants)  frequently in the upper jaw and occasionally the lower jaw depending on the existing bone structure. If your jaw is large enough and placing an implant into the wisdom tooth site would be of some benefit, then it's not an issue. But it's rare and most surgeons don't have the skill or interest to do so. It's a "high rent" district with regards to nerves, muscle attachments and jaw structure so the risk of complications is higher then with most other implants. Also, the location is really far back and cleaning will be an issue for most. 

It is possible to replace wisdom tooth with implant if there is sufficient space but not sure if this is necessary.  In any case, take the tooth out and see how you manage without it.  If it presents as a problem, consult your dentist and find out if an implant crown would be beneficial.