It doesn't look good for the melons. They would need to be vigorously vining by now.

I Agree w/Wayne. Unlikely to get a ripe melon. But You can eat small green fruits like cucumber.

No melon plant is going to produce anything in one month. You (and I) planted them about a month late this year. (Assuming your zone 5 is like my zone 5.)

I had snow on May 1, and still had last year's garden standing out there when I started prepping for this year.

I have replanted muskmelons a half dozen times to replace those broken off by wind. Now have some muskmelon vines about 6' long, and blooming. Watermelons are not doing anything. I guess I have disease problems, and should just give up on them.

"Zone 5" does not convey as much information as you may think it does. If you disclosed your location on your home page, you might have a neighbor give you some better information.