Very very soon, yes, you will be able to track your order via the My Account page.
But right now, we're currently in the middle of system migration to better serve you in the long run. Please bear with us.
In the meantime, an email notification with the tracking number/link for your order's shipment(s) is sure to be sent immediately after your box/package leaves our Fulfillment Center.
Do take note of the scheduled shipping dates for both subscription orders and one-time box purchases - https://vegancuts.zendesk.com/hc/en-us/articles/204033435-When-do-subscriptions-ship-How-long-does-shipping-take-