As far as I know NH state law does not say anything other than what DrGrant said (and does not make a distinction between an occupied and unoccupied vehicle):
Section 159:1
159:1 Definition. – Pistol or revolver, as used herein, means any firearm with barrel less than 16 inches in length. It does not include antique pistols, gun canes, or revolvers. An antique pistol, gun cane, or revolver, for the purposes of this chapter, means any pistol, gun cane, or revolver utilizing an early type of ignition, including, but not limited to, flintlocks, wheel locks, matchlocks, percussions and pin-fire, but no pistol, gun cane, or revolver which utilizes readily available center fire or rim-fire cartridges which are in common, current use shall be deemed to be an antique pistol, gun cane, or revolver. Nothing in this section shall prevent antique pistols, gun canes, or revolvers from being owned or transferred by museums, antique or arms collectors, or licensed gun dealers at auctions, gun shows, or private premises provided such ownership or transfer does not conflict with federal statutes.
Source. 1923, 118:1. PL 149:1. RL 179:1. RSA 159:1. 1967, 220:1. 1992, 273:1, eff. July 17, 1992.
Section 159:4
159:4 Carrying Without License. – No person shall carry a loaded pistol or revolver in any vehicle or concealed upon his person, except in his dwelling, house or place of business, without a valid license therefor as hereinafter provided. A loaded pistol or revolver shall include any pistol or revolver with a magazine, cylinder, chamber or clip in which there are loaded cartridges. Whoever violates the provisions of this section shall, for the first such offense, be guilty of a misdemeanor. For the second and for each subsequent violation of the provisions of this section, such person shall be guilty of a class B felony, provided such second or subsequent violation has occurred within 7 years of the previous conviction.
Source. 1923, 118:4. PL 149:4. RL 179:4. 1951, 151:1. RSA 159:4. 1967, 220:3. 1973, 528:84. 1994, 48:1, eff. Jan. 1, 1995.
Section 207:7
207:7 Hunting From Motor Vehicle, OHRV, Snowmobile, Boat, or Aircraft. –
I. No person shall take or attempt to take wild birds or wild animals from a motor vehicle, OHRV, snowmobile as defined in RSA 215-C:1, boat, aircraft or other craft propelled by mechanical power.
II. No person shall have or carry, in or on a motor vehicle, OHRV, snowmobile, or aircraft, whether moving or stationary, a cocked crossbow, a loaded rifle or loaded shotgun, or a rifle or shotgun with a cartridge in a magazine or clip attached to the gun.
III. No person shall have in or on a boat or other craft while being propelled by mechanical power, or in a boat or other craft being towed by a boat or other craft propelled by mechanical power, a cocked crossbow, a loaded rifle or loaded shotgun, or a rifle or shotgun with a cartridge in a magazine or clip attached to the gun.
IV. The provisions of this section shall not apply to law enforcement officers carrying guns in the line of duty.
Source. 1935, 124:1. 1937, 188:4. RL 241:6. 1947, 47:1. 1949, 16:1. RSA 207:7. 1969, 11:1. 1971, 308:1. 1983, 449:19, eff. July 1, 1983. 2003, 35:3, eff. July 1, 2003. 2005, 210:6, eff. July 1, 2006.