I really want to apply to this but my graduation is first week of july. Is it still possible to come if i can't make it in person the first 3-4 days of July but still make a video for each of those days (remotely), then show up for the rest?

Should i still apply given this constraint? And if so, should i be honest in the "Can you stay the full month?" question (possibly one that eliminates applicants if not a Yes answer)