Is there t-SNE in WEKA?
Sadly no, there is not a T-SNE implementation for WEKA.

If you can install python packages in your environment, then you can use the wekaPython package (in WEKA's package manager) to run scikit-learn's T-SNE implementation on data you have loaded into WEKA. Use this code in the 'CPython Scripting' panel (which appears after successfully installing wekaPython):

X = py_data.iloc[:, :-1]
y = py_data.iloc[:, -1]

from sklearn.manifold import TSNE
import matplotlib.pyplot as plt

tX = TSNE().fit_transform(X)

plt.scatter(tX[:, 0], tX[:, 1])
plt.show()