I wouldn't say probably. Ever since the age of dinosaurs, there's overheating safety shutoff built into computers, so you never need to worry about working your computer under insane temps.
If your computer never acts weird, you don't have a temp problem.
Feel free to download Prime95 and check your temps while running it. Prime95 is used to test system stability, and basically runs your processor at 100% as long as you need it to. If it doesn't report any problems, and your temps are still 60s and 70s, you're fine.