I'm sure you are thinking of the cigalike style batteries. And yes, they have the automatic style, which you have to quick puff 3-4 times to get the atomizer up to temp before you take a good vape, that is a good vape for a cigalike anyways, and they have the manual batteries, where you push the button down for 2 seconds before you start to vape. Cigalikes, approximately the size of cigs, hence their slang name here, are the first steps that many take on the journey to vape. They are at the bottom of the Vape chain, and leave most people dissatisfied with vapping. Most all other pvd's, personal vapping devises, have a firing button of some sort, that can be shut off and on with a combination of clicks. You have ego style batteries, Tube devices that hold a rechargeable and replaceable battery, there are box mods and mechanical mods, devices with Variable Voltage and Variable Wattage, VV & VW, pass-through, and then....... on and on. The best thing to do is search, search, search, review, comparisons, more search and review, then make an educated decision on your first vape gear. At the minimum, start with an ego style, not a cigalike, Personally, I'd recommend a Provari, VTR, or an SVD, with a Aspire Vivi Nova BDC, or an Iclear 30S or 30, or maybe even a protank on top. But no one will usually do that, saving time money and frustration, That's why I say to search first, then decide. We all have to learn the hard way it seems. lol
Good luck, welcome to the forum, and you can't turn off most cigalike batteries like you can a ego or tube or box or mech mod.
Every devices is different, no two are controlled the exact same way, I click my button 5 times, I am in the power up adjust menu, 7 times gets me into the power down adjust menu, 9 clicks I'm into the power off/on selection menu, then click again to turn on or off, 11 check battery, 13 check ohms, 15 light of/on, then it starts all over. Each time I get to a menu I have to wait a few seconds to allow the menu selection to engage. Not that you need to know all this, unless you get the beg P that is, just trying to demonstrate that everything has it's own method and madness lol and the need for research.
Vape long and Prosper!!