You can do this with Task Queues - basically when you receive the request 'remind me at date/time X by sending an email', you create a new task with the following basic structure:
if current time is close to or past the given date/time X:
send the email
else
fail this task
If the reminder time is far in the future, the first few times the task is scheduled, it will fail and be scheduled for later. The downside of this approach is that it doesn't guarantee that the task will run exactly when the reminder is supposed to be sent - it may be a little while before or afterwards. You could slim down this window by taking into account that your task can run for 10 minutes, so if you're within 10 minutes of the reminder time, sleep until the right time and then send the e-mail.
If the reminders have to be sent out as close in time as possible then just use a Backend - keep an instance running forever and dispatch all reminders to it, and it can continuously look at all reminders it has to send out and send them out at exactly the right time.