No, it doesn't seem like it.
I've searched for all references to Gryffindor, and I was so far unable to find any other male named Gryffindors in Harry's year.
Neville, Seamus and Dean are collectively referred to as "the other second-year Gryffindor boys" when Harry is in his second year.
“The dormitory door flew open and in came the other second-year
Gryffindor boys, Seamus Finnigan, Dean Thomas and Neville Longbottom.
‘Unbelievable!’ beamed Seamus.”
- Harry Potter and the Chamber of Secrets, Chapter 5 (The Whomping Willow)
In addition, Harry refers to there being only five beds in the boys' dormitory of his year. This seems to be the only boys' dormitory for Harry's year, so this seems to imply that there were only five male students in his year.
“They reached their familiar, circular dormitory with its five
four-poster beds and Harry, looking around, felt he was home at last.”
- Harry Potter and the Prisoner of Azkaban, Chapter 5 (The Dementor)
There's also a draft list written by JKR of students who she planned to have in Harry's year, and although some things have changed (like Dean's first name), even then there were never more than five male Gryffindor students planned for Harry's year.
This quote implies that there's only one dormitory for first year boys, as Percy was in charge of all the first years, and he leads the boys through a different door from the girls, which is the room with five beds.
“Percy directed the girls through one door to their dormitory and the
boys through another. At the top of a spiral staircase – they were
obviously in one of the towers – they found their beds at last: five
four-posters hung with deep-red velvet curtains. Their trunks had
already been brought up. Too tired to talk much, they pulled on their
pyjamas and fell into bed.”
- Harry Potter and the Philosopher's Stone, Chapter 7 (The Sorting Hat)
There's also an article on Pottermore about this list, and while changes in the names, like Neville's and Hermione's last names, were discussed, there was no mention of any other Gryffindor boys being intended or planned, nor is there any other on the list.
There's also this quote, where the dormitory is relabeled to say "second-years", and is again shown to only have five beds.
“They hurried up it, right to the top, and at last reached the door of
their old dormitory, which now had a sign on it saying ‘second-years’.
They entered the familiar, circular room, with its five four-posters
hung with red velvet and its high, narrow windows. Their trunks had
been brought up for them and placed at the ends of their beds.
- Harry Potter and the Chamber of Secrets, Chapter 5 (The Whomping Willow)
In addition, after Harry and Seamus have a huge fight, both of them expressed a desire not to continue sharing a dormitory with each other. Despite their clear anger, neither of them actually attempts to ask a teacher for a transfer, and Seamus resigns himself angrily to his same bed instead. While not conclusive proof, this does imply that the reason behind them not asking for a transfer could be that they knew there was no other option.
“I’ll talk to you how I want,’ said Harry, his temper rising so fast
he snatched his wand back from his bedside table. ‘If you’ve got a
problem sharing a dormitory with me, go and ask McGonagall if you can
be moved … stop your mummy worrying –”
...
“You know what?’ said Seamus heatedly, casting Harry a venomous look.
‘He’s right, I don’t want to share a dormitory with him any more, he’s
mad.”
...
“Seamus looked for a few seconds as though detention would be a
reasonable price to pay to say what was going through his mind; but
with a noise of contempt he turned on his heel, vaulted into bed and
pulled the hangings shut with such violence that they were ripped from
the bed and fell in a dusty pile to the floor.”
- Harry Potter and the Order of the Phoenix, Chapter 11 (The Sorting Hat's New Song)