No. It comes with a frame mount and goes next to a water bottle. Some of my jerseys have pockets too small even for a water bottle and I just do not trust them.
I had a feeling I would get a comment like this so I took a picture next to a water bottle. The pump, if I recall, is 11.8 inches tall.
It is FAR narrower and only about 2 inches taller than a Camelbak Big Chiller and people put THOSE HUGE FAT things in their jersey pockets. I guess you could too but I wouldn't. To me, it sits silently next to the water bottle.
Sure,a CO2 inflator is only about 5 inches tall so this is double the size in length. Of course if you line up a CO2 cartridge in front of the pump with a CO2 attached, it is similar in length

. LOL OK, total volume of space used is about the same for a nozzle and 2 cartridges but that doesn't mean stowing a 12 inch item is as easy.
I guess you have to pick your battles. If you want looks or a clear bike, the CO2 is the way to go. If you want a pump, you have to choose between getting a larger one to pump up the tires faster and easier (this one is done just like a foot pump - no arms are used i the action) or get a smaller one because you do not like the looks and need arm power to inflate a tire. As for weight, this one is 194 gr. Without the gauge, I think the website says it is 150 gr. Looking at a simple vale plus cartridge like this one (
SKS Airbuster CO2 Inflator), it weighs 113 gr with one cartridge and this one Genuine Innovations ProFlate Plus is 66 gr without the cartridge. Somewhere someone stated a pair of cartridges weighs 118 gr for 2 cartridges or 59 gr each (Cartridge weight was posted here:
tire - What are advantages and disadvantages of CO2 inflators over frame pumps? - Bicycles Stack Exchange).
total weight( nozzle plus 2 cartridges) is :
So for a valve that is like 16 gr, total is 16 + 118 = 134 gr.
Lezyne Trigger Drive (26 gr) = 26 +118 = 144 gr.
For the Proflate Plus, 66 + 118 = 184 gr.
In the end, this HUGE pump doesn't weigh that much more than a nozzle and 2 cartridges. Add a 3rd and the pump can be lighter than a nozzle and 3 cartridges. If you do not want frosty fingers and get a pump like the Proflate Plus that has a full length container for the cartridge, you are now weigh in more than a gaugeless pump or within 10 gr of one with a gauge when you have 2 cartridges. With three, you now weight more than one with a gauge. I can see for guys doing centuries and longer carrying 3 cartridges: 1 in case either tire gets a flat and a spare.
but then nobody cares about weight....
I even do like the ones that have a container for the cartridge and most have the ability to put the cartridge in without puncturing the seal so it won't take up more room that a cartridge and a nozzle style.
Really, only the size of the pump is really what differs.
I will say, I too may become a convert or at least join in the co2 revolution to supplement. I can see where if it is raining or cold that the extra 3 minutes could be helpful especially if I am riding with the wife and daughter. I do see the time and place for them. At the same time, I tend to be a purist at times. I like flying model gliders because all I need is a small battery and I do not need motor packs or gasoline and can fly for over an hour. I like archery of lead discharge (can't use the word r!f1e) because it is more primitive. And there is something about pumping a tire by hand instead of using electric compressors and CO2 inflators that just seems to tie cycling together. Sometimes, I just choose the simpler, old school way of doing things.
Sorry if I came off a little harsh and defensive and I have not taken offense from anyone's comments. I hope I haven't offended anyone either.
Sincerely,
Frank