Yes, It is possible, but the size determines it. If you want the gif to be sized like 1280x720, then it is going to have a bigger file size which is not suitable for the internet. (It will take too much time to load.). To again answer your question, it is even entirely possible to convert the whole video into an animated gif.
And that all for just $125 ?? ( freelancer fee isnt even deducted for designer, so less money for us)
Please don't get me wrong, there is noting wrong paying such a prize for a intro / logo animation!!
But that would be something else than al your specific wishes : left -right - slow - big enough - etc etc..
Also you want it big enough to see/recognize video photo's in film strip, but your photo's are very low quality and also very small dimension ; 180 x 135px . So asking for a video in high quality isn't really an option because of poor and low quality.
Also you are posting filmstrips foto's, i think as example, but if you want to pay such low prize for a video with so much demands,
atleast what you can do is deliver al the right assets in high quality, i dont think you know how much time go's in maken such a intro with all your wishes. Dont think ( like most of the people do ) Oh i just want it to be 10 /20 sec so that shouldnt be a problem wit this prize.
Btw, it isnt even a guaranteed project, so partitipating is realistic, and even if you make it guaranteed ( you have to pay money for that ) its is also much better to raise ethe prize ammount to get a good intro, Because otherwise you are paying freelancer more money and the designer who makes it gets a prize equal or almost same as freelancer, thats odd.
And this nwe intro you can use next year also, with just some minor adjustments.