Yes, a single person ought to be just as concerned about estate planning as a married couple. Even though there is no sense of obligation to support a surviving spouse and the state intestacy statutes provide for distribution to one's relatives, and the benefit of sheltering a married couple's combined Life Time Estate Tax Exemption is not available, proper estate planning for a single person will be needed:

1) to take full advantage of the remaining trust opportunities, including the avoidance of probate and its costs;
2) to specify exactly to whom you intend to pass your assets; and
3) to provide for support and custody issues where there are minor children involved.