Yes, you can. The very first upgrade to a loyalty category happens within 1-2 days after the 90 days period ends (to become a loyal investor, you have to be a PeerBerry customer for at least 90 days and have more than 10 000 Eur in your portfolio).
Later, calculations happen at the very last days of each month, and the updates appear on the very first days of each new month. You will be able to check your loyalty status change in your ‘Personal settings’ -> ‘Other information’ -> ‘Loyalty category’.