Along the same direct paternal line, yes — a father and son, or two brothers, share the same Y-DNA lineage, so the branch we place you on should match. Small differences can appear if one file covers more usable Y-SNPs than the other, letting us resolve a slightly deeper twig for one person. That’s a difference in depth from file coverage, not a different lineage.
My father (or brother) and I both uploaded — should we get the same result?
Yes, along the same paternal line — small depth differences just reflect how much each file covers.