It is highly appropriate that those who perform ministries in the Church are known to be of a high moral character and good standing within the Church. (Therefore, it would be inappropriate for someone whose example might provide scandal to the community – for example, someone living with their partner outside of marriage, or someone remarried without an annulment – to perform such ministries.)
However, it is not possible to know, at a glance, whether any given person is in a state of grace, just by looking at them as they stand at the ambo. Therefore, the answer to the question you’ve asked is ‘no’ – the notion of being in a state of grace, per se, is not part of the qualifications. (However, if one is in a state of life that is manifestly sinful, then one should seriously consider whether it is appropriate to enter into such a ministry. It is your pastor’s responsibility to address these issues with such ministers.)