Yes, there can still be a celebration of the Eucharist during a Marriage Ceremony with a deacon, outside of Mass.
The hosts must have been previously consecrated at a Mass and reserved in the Tabernacle. The deacon witnessing a marriage during the Marriage Ceremony is able to distribute the Eucharist to those properly eligible. Obviously, there will be no offertory procession, so there will be fewer places for friends and relatives to participate.
Communion is a symbol of unity for those who are participating in it.
If however, the marriage is between a Catholic person and a non-Catholic person, it is more appropriate that Communion not be a part of the ceremony. Although in marriage the two become one flesh, they are not one in the area of religious affiliation. This religious separation does not need to be accentuated by one spouse receiving Eucharist while the other does not.