DISCLAIMER - This answer is not legal advice. No attorney-client relationship is formed. The information provided is for educational purposes only. For specific advice regarding your situation, please consult a qualified attorney in your area.
Yes. You just have to have the proper documents prepared. You would need a will (naming the executor/personal representative of your estate), a declaration naming preneed guardian (names the guardian of your person and property upon your incapacitation) and probably a declaration of health care surrogate if you want the person to be making health care decisions for you if you are unconscious or incapacitated.
You will want to let someone know where these documents are so they can be found when they are needed.
Attorney
Estate Planning (i.e. wills, trusts, power-of-attorney doc.s, living wills, etc.), Probate and mor
You can name an alternate trustee to act in your place in case you are deemed incapacitated (unable to make your own decisions). You could also have a power of attorney that would allow your attorney-in-fact to act legally on your behalf. Some states allow a springing power of attorney that only comes into affect after you become incapacitated.