No. The Catholic Church recognises seven sacraments: Baptism, Confirmation, Eucharist, Reconciliation, Anointing of the Sick, Marriage, and Holy Orders.
Although the Anglican Communion practices rites that are similar to all seven of the Catholic sacraments listed above, it only considers two of them - Baptism and Holy Communion - to be sacraments.
In addition, the Anglican Communion has different formulas and practices for each of these activities, so they are not recognised as Catholic sacraments. The Catholic Church does recognise Anglican baptisms, but requires Catholic confirmation for any Anglican wishing to accept communion in the Catholic Church.
Answer (Yes and No)
It is important to remember that within the Anglican Communion there are those who are 'high church' (close to Catholicism in belief) and those who are 'low church' (close to Protestantism in belief).
Low church Anglicans say there are 2 sacraments. Those who are high church most certainly believe in the seven sacraments as celebrated within the Catholic Church. For example, the Church of Sweden and the Scottish Episcopal Church (both Anglican) are almost uniformly Catholic in belief, and their members would say that there are seven sacraments. There are many Anglican parishes throughout the world who believe the same, so there are millions of Anglicans who believe in seven sacraments.
The one thing that all Anglicans have in common regarding the sacraments is that they regard Baptism and Eucharist as being the most important. Indeed, the Catholic Church also believes that Baptism and the Eucharist are the most important. In paragraph 1213 of the Catholic Catechism we read that Baptism ".....is the basis of the whole Christian life." and the Eucharist is "the sacrament of sacraments" (Catechism 1211) and even "..above all the sacraments" (Catechism 1374).
The previous answer states that the Catholic Church recognises baptisms celebrated within the Anglican Communion, and this is true for Catholicism accepts the baptisms of all Christian denominations so long as water is poured over the head and the Trinitarian formula is used. However, the Catholic Church also recognises as being sacramental those marriages performed in Anglican churches (so long as neither party is Catholic). If an Anglican marriage breaks up and one of the parties wishes to marry in the Catholic Church a full annulment process is required, which would not be necessary if no sacrament existed. Finally, regarding ordination; if a member of the Anglican clergy becomes a Catholic and wishes to serve as a priest, Catholic ordination is normally done "conditionally" in case the Anglican priest was ordained by a bishop who has valid orders (this is possible due to the Old Catholic Church sharing in Anglican ordinations to the episcopate for many years).
The Catholic church does not recognise the validity of Anglican orders - neither high church or low church. The sacrament of baptism can be carried out by any baptised Christian provided they use the trinitarian form (Father, Son and Holy Spirit) using clean fresh water. It is not necessary (but is usually) carried out by clergy. Marriage is a commitment of 2 people to become one under God and could be considered to be self sacramental and blessed by the presiding clergy. Consequently, without validity of the clergy in the Anglican church as declared by Pope Leo xiii in 1896 they have no power/authority under God to administer the Sacraments.