Yes, if the spouse or a child took part. Each family member has an individual immigration history, and each may need a separate application and eligibility assessment. An eligible spouse and unmarried children under 21 may accompany the investor, but no shared processing date is guaranteed for the household.
Review each traveller's own record
Collect each traveller’s available admission records, including short trips; identify entries for which an electronic I-94 is not available. If a spouse attended meetings or helped at the seller's premises, describe that as well. Qualifying E spouses are generally employment-authorized incident to valid status, subject to the applicable proof, while children receive no work authorization from dependent status.
Neither residing in the United States nor paying for the business creates permission to work. Run each traveller's record on its own track from the outset, because merging them is easy and separating them afterwards is not. A single combined narrative written for the household tends to attribute activity to whoever remembers it, and a later correction then reads as a change of story.
Hypothetical example: a spouse who signed nothing during a visit to a specialty food-processing plant is described in a joint account as having negotiated with the vendor, and the correction has to be made after that account has already been circulated. Qualifying E-2 spouses are generally employment-authorised incident to status, subject to the applicable evidence, while children receive no work authorisation from dependent status. Ask for each person's own admission records early, and note the entries for which no electronic record is available.
Keep a short index of who holds which record: a passport in one person's drawer, a card statement inside another's online banking, an old itinerary in a shared mailbox. Retrieval fails on ownership more often than on age.