You can get a regular AdSense account approved from Blogger. However, the blog would need to be high in quality and be satisfying all the parameters Google would be looking for. Getting a full AdSense account approved is becoming tougher every day as people prefer making shortcuts to make quick money rather than work hard to make more money in the long run.
If you are looking to get a regular AdSense account approved, here's my suggestion:
Instead of applying for a full AdSense account through Blogger, get a hosted AdSense account from YouTube first. That should not be very tough. Then, make sure your Blogger blog has all that it takes to have regular AdSense ads featured onto it and then apply for a conversion of a hosted account to a regular account on Google.
I think, a conversion of hosted to regular AdSense account would have a better chance of approval than applying directly through Blogger. I remember reading Tony's "AdSense approval checklist" article on this site, please have a look at that article and make sure you follow it completely.