No. The only problem would arise if your fuel lines had a leak, and the IP pump would suck in the air from those leaks. The in-tank pump just provides positive pressure to prevent that from happening.
If your truck runs fine without it, you're all set. I know I just prefer to see my gauges! You should be able to start it and run it at least several times before having to recharge the batteries even if the alternator doesn't charge them. In my opinion, I'd rather have to run the batteries down to about 50% charge and recharge them every so often than drive with no indication of oil pressure or temperature, or turn signals and brake lights.