It depends on the procedures at a particular institution, but using email as a delivery vehicle for assessed work is so unreliable and untrustworthy that at many places it is prohibited. You should consult your local rules.
Email is unreliable because, for the sender there is no guarantee that anything arrived. It could have been blocked by various spam filters on the way because of content, type of attachment, or originating domain. Did you use the institutions own email account to email from, or an outside one?
Email is also unreliable because the time in transit can be variable. It is also insecure as the message could be tampered with in transit as third parties are used for delivery.
You may not be aware of the recipients mailbox situations. It could be overflowing with messages. You do not know the message delivery rate; how many are received per day. You have no knowledge of what the situation looks like from the other side.
For the recipient is is untrustworthy as they have no assurance of authentication, that the sender is who they say they are.
These, and many other reasons, are why many places use a VLE (Virtual Learning Environment) for the submission of graded assignments.
For you, however, without contacting the person directly you have no way of finding out if the work was received, and when it was received, and whether your email would be acceptable.
However, if email is an accepted or required form of submission, you could not expect an acknowledgement either. It would be quite time-consuming to individually reply to each message that was an assignment submission.