Yes, under the correct conditions.
It would need to feed a low impedance tap, or a coupling coil, on the L-C circuit for that to properly resonate.
I'd try something like 10% in from the grounded end (or either side of centre, if it's using a push-pull feed) or a coupling coil over the main one with again around 1/10th the turns.
For info:
Think of the end of the tines on a tuning fork, or "twanging" a ruler overhanging a desk:
If you try and continuously force the end position, there is no real resonance, you are just moving it around.
By driving it appropriately close to the fixed point, you make it move and it's own resonance amplifies that movement at the end, as long as you use the correct frequency so resonance builds up (like pushing a swing at just the right time in every cycle).