I don't know the system from my own experience, but this happened to me when I tried to reach [
HD 40064]. It appeared there was no way back with my ship's range, but with a +100% jumponium injection, it
was actually possible. But I had to drain my tank first. Took 14 hours of flying around with my FSD at 30km/s, but with my fuel almost gone, the mass of my ship had reduced just enough to reach a white dwarf, and with another injection a scoopable star. Barely, but it worked.
If there are any stars around that you can
almost reach, this might be worth a shot. Also, drop everything else that might weigh you down. Like cargo, limpets, etc.
You can read my HD 40064 story [
here] if you like.
Edit: Don't forget to occasionally change instances to update your jump range. To do so, just exit and re-enter frameshift space.
Edit 2: Actually, that system is reaaally close to where I am right now, what a coincidence. It's like a stone's throw away from my current position. I might be getting curious... What's your current maximum jump range (without boosts or injections)?