Yes you can. The country code of your mobile is not relevant here. The important thing is that it is a mobile number (not a landline), with the country code correctly attached. If those two things are right, it will work.
- UK: 00447912345678
- USA: 0015551234567
- Australia: 0061408123456
Alternatively, you can activate the “forgotten password” feature with an email address instead of a mobile phone number.