Sure, you can avoid laser/electrolysis forever...if you intend on having facial hair, forever. Trust me, tweezing is a pain in the bum and facial hair, by far, is some of the most stubborn hairs you'll ever encounter. Today will be session seven for me of laser, and I still foresee another five sessions (as 12 sessions is the max she will do). I was classified as one of the "perfect" candidates for laser; dark hair/light skin - and as true as that may be, I'm still working at getting rid of it all.
As said, laser would probably be a better option for you as it does not involve any needles or any sort of "penetration" for that matter. Secondly, laser covers a greater area at one time, lessening your overall time of sitting in there (hours for electrolysis vs minutes for laser). And lastly, due to it covering a larger area, you can maximize this advantage as you'll take care of the majority of the hair at once, and then focus on electrolysis (if you're up to it) for the pesky hairs that won't die.
Nonetheless, back to the point - you can tweeze, and tweeze and tweeze - and I promise you that you will be tweezing for a very long time. Though, it is your choice, just offering my point of view.