Can I miss AT due to financial hardship?

SPC (Join to see), your best and ONLY bet is to speak with your Chain of Command. They are the ONLY ones that can tell you yes or no.

I suppose you have no leave saved up at your civilian job (and your job has no paid military leave). Regardless, to answer your question, you may able to miss AT if your command allows it, but AT is often the biggest training event of the year for guard units, making missing it for those units extremely hard. You can try and explain it to your Chain of Command, but it is not a guarantee. These are things you should have planned for when you enlisted. And, even if you were allowed, you will still have an UNSAT year on your record if you don't make it up somehow. I will say that if you have a valid reason, and a valid plan to make up AT, then it is more likely your command will allow it (many units allow Soldiers to attend schools and other missions in lieu of AT as well). Bottom line is, talk with your CoC about it, but work on a contingency plan if they won't grant you permission to miss it.

Best chance is to get a letter allowing you to miss AT from your company commander. I have skipped a couple ATs because of finances and academic reasons. Normally you will have to make up the time in another way. Being supply it should be pretty easy to find something to do in off time.