Does this french sentence make sense?

Either "je n'ai jamais �t� seul le week-end" (no need of "pendant") : this means you were never alone on week-endS, never, never... But now you are. If you are never alone during week-ends still now, say : "je ne suis jamais seul le week-end" in the present and the singular. Or: "je n'ai jamais �t� seul ce week-end", and that means that you couldn't find a minute of peace to spend time by yourself last week-end.