As I've never played bullet chess, and I have no interest in doing so in the near future, do not consider me an authority on this topic. However, I can imagine that using a touchpad would put you at a serious disadvantage in bullet chess, just as it puts you at a disadvantage in other games that require you to do actions quickly, such as certain videogames.
Is a touchpad a handicap in bullet chess.

i play 1 min on chesscube on a laptop with no mouse and am about 2000 so no need to worry,
i also play LoL with the same laptop and i am quite good:D

I play 1 min. lightning a lot. Especially in openings, endgames, and forced variations, I can play several moves per second with a mouse (I use chess.com's premove feature). With a touchpad, it takes several seconds per move. This is a serious disadvantage for me, and I lose horribly whenever my mouse battery dies.
My opponents are quite predictable at this level, so I can get away with premoving away from checks and responses to captures, which make up a large portion of any game.
yes. it's also not really ideal for blitz either.
Thanks for your insight. Keep it coming.
yes. it's also not really ideal for OTB either.
Excellent point. I don't want the cord knocking down pieces while I push a piece with a mouse.

I used to lose all my games on time until I got a mouse. Just buy one, even good quality ones are pretty cheap these days. It's a worthwhile investment to your rating.

I play 1 min. lightning a lot. Especially in openings, endgames, and forced variations, I can play several moves per second with a mouse (I use chess.com's premove feature). With a touchpad, it takes several seconds per move. This is a serious disadvantage for me, and I lose horribly whenever my mouse battery dies.
bruh Idk how much I need but definetely not several seconds.. also the germans messed up my hand pretty badly.. this is a serious disadvantage for me. KEKW
But it might take several seconds tho.. if you have to move twice! KEKW
I suspect that most of my oponents are playing bullet chess with a mouse, so being on a laptop without a mouse would presumably put me at a disadvantage. However, is this actually true?