I got gitam rank 107 can I join gitam or wait for eamcet counseling

Going through your rank, you have fair chances of getting Computer Science and Engineering branch or your desired branch in GITAM keeping in mind that closing rank of last year's for CSE was around 20,000. 107 rank in GITAM Gat which is really amazing an you will also be eligible for Fee concession as this is for candidates up to 3000 rank.

Rank    tuition fee Exemption for first year

1-50                     100 %

51-250                  75 %

251-1000              50 %

1001-3000            25 %

GITAM Institute of Technology is one of the leading Engineering colleges of the State. The Institute has good placement records for last few years. Computer Science is the branch which grabs most of the placements. Top MNCs like Wipro, TCS, Capgemini recruit engineers from this college with an average package of 5 lacs per annum.
Now waiting for EAMCET counselling is quite risky. If you have a good rank in EAMCET and you think that you can get government Engineering college through EAMCET counselling so you can wait for it. To get the complete list of colleges that you can get based on your EAMCET score and rank use this link