Short answer - yes in my earlier GalCiv days. Now, no - rarely longer than five years.
Longer answer - Personal View - nothing is absolute
Ignoring the artificial tactics of prolonging games for metaverse points, an easy thing to do, I believe it can be the result of GalCiv being a "Balanced" game. It will tick along and react to what you are doing - sit still and build up irresistable huge force levels, and by the time your ready to rumble, the bad guy is sitting there drumming his fingers on his Armagedeon Fleets muttering 'bring it on'.
Flippancy aside, I felt I was hitting a similar kind of stalemate once, and decided to change totally the way I played, not being totally concerned about overwhelming victory yaddie yadda, or worrying too much about how they could easily zap me. Ouch, did I hit some big Crash & Burns, but I learnt a lot. Eventually it settled, and I realised that I needed to be be 'bolder' and strike early. To do that, I needed to think more deeply about what I had, and more important what the other guy really had - the AI is very good at throwing up a smoke screen, a venier of strength and activity, when in fact there was squat behind it. Kind of like todays Politicians or wannabe well known celebrity number one, all brash and bluster, but no lasting substance.
I enjoy the game much more now, as it represents a better challenge - think my way out of trouble, not blow my way out of trouble five years later. If I havent taken out at least one - sometimes two Civs in the first 18 months, I am scratching my head wondering what I missed, what clues/indicators did I miss this time. An early strike by two fighters and ten transports will take out a civ in the early months (hit his planets, ignore his fleets) - by year two you'll need 20 times that. I forced myself to build fleets ahead of perceived need, knowing it would soon come. I get predatory, lurking on the edges of others wars with constructors prepositioned, patrolling, waiting for resource stations to be zapped, next turn the resources are mine etc.
As always with a Balanced game there is no "solution" or "best strategy", one is as good as another, which is best for you all hangs on play style. However, there is little doubt much of the longevity of a game will depend on how boldly you tackle it. Think about how you can win (and do it, dont wait, be bold, opportunities surface only for short periods), push out of the mind the many ways you can lose, would be a loose phrase I would use.
An opinion, not an absolute...
Regards
Zy