Yes. Read 91.126(d) in CFR14 (used to be FAR's). It talks about
operating in vicinity of an airport in class G airspace. Scroll down
to (d) and it talks about communication with control towers.

A couple of examples are Fort Worth Spinks (KFWS) and Grand Prairie
(KGPM) on the south side of Dallas. There are other examples out
there.

You can view the sectional charts here http://skyvector.com/

And below is the relevant text from 14 CFR 91.126(d)

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§ 91.126 Operating on or in the vicinity of an airport in Class G
airspace.
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(d) Communications with control towers. Unless otherwise authorized or
required by ATC, no person may operate an aircraft to, from, through,
or on an airport having an operational control tower unless two-way
radio communications are maintained between that aircraft and the
control tower. Communications must be established prior to 4 nautical
miles from the airport, up to and including 2,500 feet AGL. However,
if the aircraft radio fails in flight, the pilot in command may
operate that aircraft and land if weather conditions are at or above
basic VFR weather minimums, visual contact with the tower is
maintained, and a clearance to land is received. If the aircraft radio
fails while in flight under IFR, the pilot must comply with §91.185.

[Doc. No. 24458, 56 FR 65658, Dec. 17, 1991, as amended by Amdt. 91-
239, 59 FR 11693, Mar. 11, 1994; Amdt. 91-282, 69 FR 44880, July 27,
2004]

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On May 15, 9:52 pm, "Danny Deger" wrote:
In another thread, I have just read that there might be controlled airports
without having class D airspace, and pilots are supposed to know this and
know to contact the tower and stay of their non-class D airspace if they are
not in contact with the tower.

Can anyone confirm this?

Danny Deger