No
Your "basis" or cost for the lot you just sold would need to be the value of the land only.
There are exceptions to capital gains on property adjacent to your home, but the sales need to be within 2 years, so would not apply in your situation. In other words, if there is a gain on the lot sale, you'll need to claim that gain.
Because you need to value that parcel alone, I suggest you look at your tax assessment for the year of purchase. Since the parcel has its own tax ID, your tax bill should have a separate value for that lot.
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