No, please no. If size is an issue for some reason or you want to have no dependencies you can use something like http://zeptojs.com/ and just embed everything in one minified file. If you do things right only the functions you are actually using will get placed in there as well. Do not reinvent the wheel to solve problems that can't be solved in much cleaner and nicer ways. Managing dependencies can be annoying, but…
JQuery has down sides other than size. There is also maintenance, dependency and backwards compatibility issues.
EDIT: Plus it adds a lot of extra syntactic mess, extra () $ and .