Yes, there is a possibility for Barcelona to catch Real Madrid, but it is very unlikely that Barcelona can prevent Real Madrid from becoming champions this season. Indeed, there are still 9 matches remaining where these two teams could lose points and it is possible that either of them will be able to appear consistent by sweeping all matches and winning. In my opinion, Real Madrid has a bigger chance of becoming champion because they have shown how consistent they are in Laliga this season.
Indeed, Barcelona has shown quite good changes recently because they have been able to occupy 2nd place. Yes, their next target is to reduce the points gap with Real Madrid and one of their hopes is of course to see Real Madrid fail in the upcoming match. Xavi certainly wants to repeat last season success story even though it looks quite difficult but I think they still have a chance to do it.
Barcelona will soon face a Las Palmas team that may be a little weak compared to them, the opportunity to get 3 points in the match is of course very wide open especially now that Barcelona's performance is quite impressive in recent weeks, the additional 3 points can certainly bring them closer to Madrid who may be difficult against Bilbao in other matches, although very difficult but I think Barcelona will still be able to press Madrid by continuing to win.
Currently Madrid has left Barcelona with a difference of 8 points, and with the remaining 9 matches at this time of course all possibilities can happen, especially this week Madrid will face Bilbao which is also in good enough condition so that the possibility of Madrid losing points can happen and Barcelona must still anticipate this of course by winning the match against Palmas, In addition, Barcelona's opportunity to reduce the distance from Madrid is of course in El Classico and of course on the condition that Barcelona cannot lose again, I think mathematically Barcelona's chances to approach or rival Madrid are still open with 9 remaining matches on the condition that Barcelona must be able to win all their victories and of course hope Madrid lose points in some of their matches although maybe it will be very difficult to happen because they are in on fire condition now.