Probably not.
The meter with the free balls is incredibly fast, and typically the cause of most problems suffered by lower-tiered players.
Myself, I would buy any of the WGT-sponsored balls. Hopefully these won't break your bank account too much, and you can start earning some credits in tournaments/matches/games, and buy some nicer balls/equipment.
But, I'm not saying that it's impossible to make Tour Master from your position, just unlikely with starter balls. Even the slightest upgrade to golf balls works wonders.