Can i use an analogue IC switch being triggered at the same frequency I am receiving on to change a 10 m yagi's directivity by somehow combining received signals with different variable phase either from the same driven element or two or more driven elements?
No, you can't; what you're building by switching something at its carrier frequency is a mixer to twice, four, six,… times the carrier frequency and to a broken 0 Hz baseband, so that's not useful.
The math is simple:
Just as your normal mixer multiplies with a cosine to mix the signal to the sum of the cosine and signal frequencies, and to their difference, the same happens when you multiply with a square wave instead of a cosine.
A square wave can be mathematically represented as sum of cosines of the fundamental frequency of the wave, and every odd harmonic.
Ergo, switching with some frequency $f$ just produces mixing products at your signal's frequency $\pm f$.
That's a standard mixer type, the switching or chopping mixer, but it's not a way of combining things with an adjustable phase.
Looking at that:
What you can do is use a switching mixers for each of two signals, where one square wave has a time (and hence: phase) offset; these mixers would produce a sum-frequency signal each, but with different phases. Then, add these and you get a phase-shifted sum.
You'll have a lot of unwanted harmonics to filter, and your phase adjustments of your square wave can be a bit hard to achieve, and you wouldn't want to use the carrier frequency of your signal, but a higher, adjustable frequency so that you end up on a useful IF.
But, technically, this is fun thing to consider, and whilst I'm pretty sure you didn't think it'd work like that, yes, you can use switching to phase adjust – but only in the context of using it as mixer.