Yes, with conditions. There is an exception to the 2 years out of 5 rule, if your ownership of, and residency in, the second main home was cut short by a work-related move.
However, the exclusion from capital gains on the second (most recent) main home is not a complete exclusion. You are entitled to a partial exclusion, based on the time elapsed since the sale of the first home for which you received the capital gain exclusion. Please see the worksheet beginning on page 15 of IRS Pub. 523 Selling Your Home.
