Can I use APT on TinyCore?

Will tinyCore let me use APT? I am looking forward to use a very light version of Linux on a netbook or something. For the last few years I been using Linux Mint and I like it, but I am getting tired of it, since it is too big to my taste now, and I want an easier, faster and more lightweight one, however I am used to apt-get in Ubuntu and Debian. I only use my computers for coding and web development stuff, so I don't want to get my hands dirty on a Linux stuff for long, all I need is a lightweight OS that doesn't look stupid and big, vim and a browser to test. However, APT is important to me; will it work with TinyCore or something similar?