Will I turn off my favorite papa if I send him another message?

I really like the papa I’ve met twice so far. He tells me things like, “You’re cute,” but we haven’t been able to make plans for our next date, and I’m feeling lonely… Here’s how our recent LINE exchange went: P: Let’s go on a trip sometime. ↓ Me: Let’s coordinate our schedules next month. ↓ A few days later Me: When can we see each other next? ↓ A few days later P: How about the 〇th? ↓ Me: I couldn’t make that day work, so I suggested another date. ↓ P: I’ll check again and get back to you soon. ↓ A few days later Me: Any update on your schedule? ↓ P: I’m sorry—please give me a little more time. ↓ Me: Okay, followed by some casual conversation. It’s been a week since then. I can’t stop worrying that maybe he’s already lost interest or doesn’t actually want to see me. I’m tempted to send another message with a selfie attached to some casual conversation, saying, “I miss you so much when we can’t meet, I could just die.” But would that only make him uncomfortable? 😭 I’d especially appreciate hearing from the men here. Thank you in advance.