Upvote:2
Yes you can however your chances are very slim. At this point it looks like you have adverse immigration history and this government is extra harsh on that. A year ago is relatively recent.
I would wait until you're working and have established strong ties to your place of residence before applying. Personally I wouldn't waste my application fee and have three refusals in a row.
Reference: Several somewhat similar cases on Travel.Stackexchange, immigration news etc.