Is it really possible for a man to be too busy to send a text message?

It's possible. I'm often busy until I get home at 11 or 2 o'clock. Sometimes I have to work overtime after dinner, and then study. I really don't have the energy to do anything else, otherwise I won't have bread for tomorrow. It’s gone.

Modern people are really under a lot of pressure, and sometimes they forget about other things when they are busy.

The other possibility is of course that he doesn't love you anymore, but it can't be proved from one aspect. You should communicate with him more when you have time to see clearly where the problem lies. You obviously don't know that man well, so you can't make a judgment. If you could understand it deeper, all problems would be solved.