You'll have to play a huge amount of games even if you have Gold XP Boosts. We're talking millions of XP points.
This is how far you'll have to go for that goal. That took me 5years of continuous playing week after week. [of course other stuff got in the way...like eating and sleep, etc] Is it possible? That's a tough haul, sure if you played 7 days a week, a ton of hours a day to exhaustion at which point most folks throw in the towel and say the heck with this. When they sold the Gold XP boosts, I took advantage of it and spent a lot of cash and got a ton of them. I then played through all of them, and lucked out with a few double XP weekends getting 20K+ XP's at times. Played WZ FF a ton since that map was always going all the time. But at 20min per game, it took time to rack up a lot of XP's per day. Even with the Gold XP Boosts, I was getting only 16K XP's per game at most. So is it possible? remote at this point. as you can see below, the price starts getting steep the closer you get to 152. You may make it up to SR 145, but after that things get really tough when you're talking millions of XP points.
SR-----XP------------------------------ Required XP's for next rankup
108 - 3,665,000 - Rank Up Pack 75K
109 - 3,740,000 - Rank Up Pack 80K
110 - 3,820,000 - Rank Up Pack 85K
111 - 3,905,000 - Rank Up Pack 90K
112 - 3,995,000 - Rank Up Pack 95K
113 - 4,090,000 - Rank Up Pack 110K
114 - 4,200,000 - Rank Up Pack 120K
115 - 4,320,000 - SR 115 Pack 35K, containing Signal Emblem (reset point #8)
116 - 4,355,000 - Rank Up Pack 40K
117 - 4,395,000 - Rank Up Pack 45K
118 - 4,440,000 - Rank Up Pack 55K
119 - 4,495,000 - Rank Up Pack 60K
120 - 4,555,000 - Rank Up Pack 65K
121 - 4,620,000 - Rank Up Pack 70K
122 - 4,690,000 - Rank Up Pack 75K
123 - 4,765,000 - Rank Up Pack 80K
124 - 4,845,000 - Rank Up Pack 90K
125 - 4,935,000 - Rank Up Pack 90K
126 - 5,025,000 - Rank Up Pack 95K
127 - 5,120,000 - Rank Up Pack 100K
128 - 5,220,000 - Rank Up Pack 110K
129 - 5,330,000 - Rank Up Pack 145K
130 - 5,475,000 - SR 130 Pack 45K, containing Noise Emblem (last reset point #9)
131 - 5,520,000 - Rank Up Pack 55K
132 - 5,575,000 - Rank Up Pack 65K
133 - 5,640,000 - Rank Up Pack 70K
134 - 5,710,000 - Rank Up Pack 80K
135 - 5,790,000 - Rank Up Pack 90K
136 - 5,880,000 - Rank Up Pack 100K
137 - 5,980,000 - Rank Up Pack 105K
138 - 6,085,000 - Rank Up Pack 115K
139 - 6,200,000 - Rank Up Pack 125K
140 - 6,325,000 - Rank Up Pack 135K
141 - 6,460,000 - Rank Up Pack 155K
142 - 6,615,000 - Rank Up Pack 185K
143 - 6,800,000 - Rank Up Pack 250K
144 - 7,050,000 - Rank Up Pack 700K
145 - 7,750,000 - SR 145 Pack 1,250,000m, containing Kindred Emblem
146 - 9,000,000 - SR 146 Pack 2,050,000m, containing Cognate Emblem
147 - 11,050,000 - SR 147 Pack 2,950,000m, containing Slumber Emblem
148 - 14,000,000 - SR 148 Pack 4,000,000m, containing Awake Emblem
149 - 18,000,000 - SR 149 Pack 6,000,000m, containing Sentient Emblem
150 - 24,000,000 - SR 150 Pack 11,000,000m, containing Warden Emblem
151 - 35,000,000 - SR 151 Pack 15,000,000m, containing Guardian Emblem
152 - 50,000,000 - SR 152 Pack --,---,---m, containing Mantle Emblem