It impossible to say , some people would mean this as a "let her down easy" blow off and many more( at least I hope) would just be informing you "I'm unavailable " next week.
It's reasonable not to visit a libray or internet cafe on a vacation especially to chat with someone I've known a week. Smart phones can be expensive. I also might not have private time to go off to the library or just to chat in the schedule. Even if it's a white lie that his parents don't have a computer/internet I think it's reasonable if the reason is " My parnets don't have a computer I can use for the purpose of corresponding with you" My mother has a computer and internet it took a year to get her an email account and PMing programs and took a hour or 10 to explain each one and normally several phone calls to explain and answer.......
" what did you do to my computer?
that window live did something? I can't use it now!!!"
" yeah mom that's an update just click OK please?'
" but it says it wants to change my harddrive, I don't want to change my harddrive"
"just click "OK""
"No , I don't understand this come take this off "
"please please just click ""OK"".........
"Fine I'll come and fix it" drive 30 minutes hours click "OK" and while I"m there do x , y and z