No, while there is no restriction on using different alien tech on the same ship, the rules for Orbital Teleporter specifically prevent a ship already placed from having its value changed when moved to another facility. Stasis Beam also doesn't work on placed ships. Rules, page 14
Orbital Teleporter - Each turn you may pay two fuel to move one of your docked ships from one orbital facility to a different orbital facility. You may only move one of your ships with the Orbital Teleporter but the moved ship may be used at the new facility in conjunction with other as yet unplaced ships from your fleet. You may not reuse the ship at the same facility from which it was removed. You may not change the value of the ship as it moves from one facility to the other.
Stasis Beam - Each turn you may pay one fuel to decrease the value of one of your unplaced ships by one point. You may discard a Stasis Beam to place the Isolation Field on a territory or, if the Isolation Field is already on a territory, move it to another territory. (Page 15)
Card Reference (scans), and card reference 2.
Orbital Teleporter - Pay (E E) to reuse one of your ships at a different facility.
Stasis Beam - Pay (E) to subtract one point from one of your unplaced ship.
Technically, you could achieve what it is you want by using one of your '5's on the Solar Collector, since it also gets you 3 energy. Then use the Stasis Beam to change the '6' to a '5', then use the remaining 2 energy to move the '5' from the Solar Collector with your remaining '5' and newly Stasis Beamed '5' onto the Colony Constructor.