Not really. There’s been a meaningful expansion in the language to support tables and such. If you are curious, take a look at the code in $QHOME/q.k, it will help you understand what portions of q are implemented natively vs in k.
kdb is the predecessor to kdb+®. At one point kdb was an application on top of k. At kdbfaq, we refer to kdb+® as kdb. q is the programming language of kdb. It’s a small layer of syntatic sugar on top of k, plus several significant extensions and new datatypes. k4 is simply an old name for q.
See $QHOME/q.k to see how much of q is written in k.