Yes, this is what incapacity planning is all about. If you are using a living trust as the centerpiece of your estate plan, you can name a disability trustee to step in to manage the trust if it ever becomes necessary.
To account for property that has not been conveyed into a trust, you can execute a durable power of attorney. The agent who you name in the document would handle your financial affairs in the event of your incapacity. You could add another durable power of attorney to empower a health care decision maker.
The “durable” designation is significant, because a power of attorney that is not durable would no longer be in effect if the trustor was to become incapacitated. There is a variation called a springing durable power of attorney that would only go into effect if you do become unable to manage your own affairs.
With regard to the health care side of the equation, you should add another document called a HIPAA release form. This will give doctors the ability to share your medical records with your health care agent.