No. While your faith may influence others, this verse is simply showing that faith is necessary for you to be saved AND faith is necessary for your household to be saved. Pure and simple. Don’t read more into the verse than what is there. These people were Ronan gentiles. They likely had never heard of Jesus and certainly not His gospel. The first thing they had to do was believe in Him as the Son of God. This is why they had to be TAUGHT ( verse 32) before they could believe. Baptism is a vital part of the gospel of Christ (see Acts 8, the Ethiopian eunuch) and was part of what he was taught by Paul; this is proven by the fact that as soon as they were “TAUGHT”. They were all baptized immediately. (Verse 33).
I appreciate your response and input, but as you can see there is some division even amongst believers as for the baptism.