No, they are very different.
The Army has combat helicopters & transports, but no bombers or fighters. They own a few transport vessels, but no seagoing warships. But mostly land based combat units that emphasis firepower.
The Navy has carrier-based aircraft, anti-warship speciality land-based aircraft, transport planes. It has specialty land troops, like SEALS (commandos) and Naval Security Specialists. Most combat watercraft, though.
The Marines are technically a part of the Navy, but are in fact the original Rapid Deployment Force. They specialize in doing much with little. They emphasise mobility & extreme training over the kind of massed firepower the Army prefers. Launching their attack from Navy ships at sea, they can deploy almost anywhere, and have been America’s strong right arm in sudden military crisises throughout our nation’s history. Amphibious Warfare, the art of getting a fighting force ashore in enemy territory is a difficult & challenging one, & the Marines excell at it. Their ships are chiefly small landing craft (excepting the Amphibious Warfare Motherships), and are properly called boats. Their aircraft are used for close air support of ground troops ( the Marines are better at this than any other branch of service), and to ward off attacking planes. Most of their aircraft are STOL/VTOL (Short Take-Off and Landing/Vertical Take-Off and Landing).
The Air Force are flyboys. They own small watercraft, but field no ground troops beyond security personnel, Air Rescue Special Forces Personnel, & and anti-terroriist team culled from these. Bombers, fighters here, and heavy lift transports aplenty. Historically, the AF dislikes Ground Attack specialty planes like the A-10 Warthog, believing that bombing alone cam bring a nation to its knees. As yet, that has never happened. They are the youngest service, & often have poor morale among enlisted men. Their Senior officers have a poor reputation as strategists.
One area that Army, Navy & Marines squabble over is Riverine Warfare–battle on rivers, lakes & marshland. Each has been in charge over the centuries, with varying results. Sometiimes, two branches of service compete at this in the same war, as in the US Civil War, or Vietnam.