If you think of a path as a series of ranges then your idea kind of makes sense.
However, I don't think you would get a path out of this approach, just a series of ranges.
Taking one expiry, the prices in a chain imply a range of price movements between today and expiration.
Take the SPX(at say 1300) and VIX, for example, is at 15.8 and the SPX option chain that you are looking at is 30 days from expiry. That tells you that there is approximately a 68% probability that the SPX will be between approximately 1370 and 1230 at the end of 30 days, or a 68% probability that it will be within 1% of 1300 in 1 day.
Running this example on multiple chains would only expand the range(implied vol is increasing in later expiries), or contract the range(implied vol is decreasing in later expiries).
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If you had access to a standardized/liquid market of path dependant options, you might be able to narraw the range down somewhat.
If you did arrive at a narrow path estimate, it would change frequently with volatility... what would be the value of this path estimate?