Yep, easily unless the X-boat has misjumped. The furthest a tender will ever be from an emerging X-boat is 24,000km under the rules (3,000km per parsec jumped and figuring the tender is at one off target X-boat when another jumps in as far off center the other way). And the tender has 1g so it can cover 24,000km in about an hour. That's worst case, probably half that most of the time.
The more worrisome times will be when an X-boat misjumps and is:
Slow to come out so it's endurance is (or nearly) exhausted and the pilot is relying on their vacc-suit.
Or it ends up in the wrong system with no close help, or no help at all.
However I don't see X-boat misjumps happening. Not without some outside influence, like sabotage.