Can I pour a solution into another vessel with no air bubbles?
There are two aspects to consider for the intended "air bubble free" (or at least, "air bubble less") transfer from your container where the liquid is prepared into the container where the liquid is supposed to solidify:


Your first container shown is a round bottom flask.  Initially, an increase in inclination of the flask will increase the flow of liquid out of the flask.  If however the inclination is too high, the air that aims to refill the inner volume of the container, initially occupied by the liquid, will no longer continously enter the flask.  Instead, there will be an alternation of sorting liquid and entering air; which may in turn yield air bubbles in the sorting liquid.  Depending on the viscosity of the liquid, the air bubbles may remain in the liquid for quite some time.  From the perspective to lower the potential air intake by the liquid during the transfer, a wide mouth bottle, or even a beaker were better suited than a round bottom flask.
The distance between the first and the receiving container.  For your purpose, it is not good to pour the liquid directly into the receiver. To lower splash and splatter in the transfer by decantation, an easy aide is using a glass rod, like shown here:




(picture source)

In your instance, it may be more convenient to use a slab of glass / a pane of glass that is just beneath the mouth of the first container, and bridges all the distance to the receiving container; as schematically drawn below:



Here, intentionally the slab of glass is partially immersed in the liquid already present in the receiving container.  If done in a coordinated team of two, one holding and moving gently the slab of glass, the second gently decantating the liquid onto this "chute", you might cast larger volumes into trough-shaped containers / fish tanks, too.  Once solidified, you would cut-out the block / shape you need.  Overall, it reminds me a little to ballistic gelatin...