No, no! (I'm looking at the picture) For even a half-assed bypass you need to insert one lead of the cap there directly next to pin 13 (Vdd), with the other lead to Vss. That makes a huge difference on a solderless breadboard--I've seen it.
But, the GPIO pin is obviously the problem, coupling into that poor, innocent oscillator's input.
You could consider a) reassigning that GPIO signal to another pin, b) or slowing its slew rate with an R-C... {or c) air-wiring pin 11 and seeing whether its coupling to pin 10 is still excessive}
Anyway, you've identified the problem, time now for the fix.
Cheers, James Arthur