Not if they're gracious or polite to you. Helps to be at war with No.2, and be shelling out resources/gpt to them.
I had one cool game where there were no wars, except for the odd couple turn skirmish here and there. When I was within 10 turns of finishing the UN, I got No.2 to declare on me, and was generous with techs, resources, and gpt to the rest of the civs. It was a unanimous vote for me.