Just pointing out the possibilities in the opposite direction.
The evidence actually seems to be the other way. this little passage, written long after the events record in the Gospels, certainly suggests otherwise.
1 Corinthians 9:5
New International Version (NIV)
5 Don’t we have the right to take a believing wife along with us, as do the other apostles and the Lord’s brothers and Cephas[a]?
Footnotes:
a.1 Corinthians 9:5 That is, Peter