No, you need an actual oscillator circuit to be governed by the LC tank.
You can look up various ways to make those with a transistor, (ab)using various logic gates, etc.
In practical terms though, this is not really the best way to generate a clock for a flip flop, which additionally needs to be square-ish and transition between good logic levels. Better options could include:
A small "clock oscillator" module sold just for this purpose and dirt cheap. Get one for at most a few MHz.
A 555 (especially a CMOS version) with an RC timing circuit, handy if you want to watch with slower test equipement
a dedicated clock output, timer output or rapidly twiddled GPIO from an MCU eval board you might have on hand (eg an Arduino), advantageous again as you can run it slowly to more easily see what happens
a debounced pushbutton - letting you literally run things at human speed. Passing a button through MCU code could be any easy way to improvise this, too.
Somewhat implicit in this (at least apart from the first option of a clock oscillator module) is the likelihood that in working with a loose flip-flop, you are working on an formal or self educational project, rather than trying to build an actual personal-use or commercial product, as such today would typically use much higher level integration than a bare flip-flop, or be implemented largely in MCU software.