No. First, the run to $1 was because investors thought that Tempus had $100 million in contracts, and that was incorrect. It will take a lot to bring this to $3.
Secondly, the next run might not be for another 4 months, or even 4 years. Who knows. I just would not chase this stock right now.
99% of penny stocks are pump and dumps, yet 100% of penny stocks pretend to be in the 1%. Contracts, patents, mergers, partnerships, and other such news are usually "too good to be true" and should be looked at in detail. The source should also be vetted.